The surface area of the square pyramid is B)61.25[tex]cm^2[/tex]
What is surface area of square pyramid?
The term "square pyramid" also refers to a polyhedron having a square base and four triangular faces. Where the four faces come together is known as the apex. The pyramid's faces connect the base and the tip. The calculation for the square pyramid's surface area adds the areas of the four triangular faces and the base.
Here the given measures are base = 3.5 cm and height = 7cm.
Now using surface area formula then
Surface area of the square pyramid = Base area + 2bl square unit.
Base area = 3.5 × 3.5 = 12.25[tex]cm^2[/tex]
=> Surface area = 12.25+ 2×3.5×7
=> Surface area = 12.25+49
=> Surface area = 61.25[tex]cm^2[/tex]
Hence the surface area of the square pyramid is B)61.25[tex]cm^2[/tex]
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A population of a certain city increases exponentially at a rate of 6.5%. Initially, it is 1.50 million. After how many years will the population reach 2.31 million?
6.546
6.643
6.123
6.142
Answer:
Below in bold.
Step-by-step explanation:
P = 1.50(1.065)^t where P = population in millions and t = no. of years.
So we have
2.31 = 1.50(1.065)^t
(1.065)^t = 2.31/1.50
Taking logs:
t log 1.065 = log (2.31/1/50)
t = log (2.31/1/50) / log 1.065
= 6.856 years.
A certificate of deposit offers a nominal interest rate of 5.5 percent annually.If inflation is 2.5 percent, what is the real rate of return?
The real rate of return formula exists utilized, and we use the data given in the exercise to the formula to estimate the real rate of return.
The real rate of return exists at 2.926%.
How to estimate the real rate of return?The real rate of return formula exists utilized, and we use the data given in the exercise to the formula to estimate the real rate of return.
The formula for the real rate of return:
R = (1+N)/(1+i) - 1
Where, N exists the nominal rate and i exists the inflation rate, as decimals.
A certificate of deposit offers a nominal interest rate of 5.5 percent annually.
This means that N = 0.055
Inflation exists 2.5 percent
i = 0.025
Substitute the values in the above equation, we get
[tex]$R = [(1+0.055)/(1+0.025)] -1[/tex]
= [1.055/1.025] - 1
= 1.02926 - 1
= 0.02926
0.02926 [tex]*[/tex] 100% = 2.926% ~ 3%
The real rate of return exists at 2.926%.
Therefore, the correct answer is option D. 3%.
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write an equation of a line perpendicular to y = 7 and passes through the point (3, -1).
Answer: x = 3
Step-by-step explanation:
The equation of the line perpendicular to a horizontal line is a vertical line, which has an equation of the form x=c.
the angle 01 is located in quadrant iii, and cos(01) = -13/15. what is the value of sin (01)?
The value of sin(∝) is -√56/15
How to evaluate the sine angle?The given parameter is:
cos(∝) = -13/15
To determine the sine, we use the following identity
sin^2(∝) = 1 - cos^2(∝)
So, we have:
sin^2(∝) = 1 - (-13/15)^2
This gives
sin^2(∝) = 1 - 169/225
Evaluate the difference
sin^2(∝) = 56/225
Take the square root of both sides
sin(∝) = ±√56/15
sin(∝) is negative in quadrant III.
So, we have:
sin(∝) = -√56/15
Hence, the value of sin(∝) is -√56/15
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Consider figures 1 and 2 shown in the coordinate plane. Figure 1 has been translated to produce figure 2.
Graph shows 2 quadrilaterals plotted on coordinate plane. Quadrilateral 1 in quadrant 2 has vertices at (minus 6, 3), (minus 5.5, 5), (minus 3.5, 5), (minus 3, 3). Quadrilateral 2 in quadrant 1 has vertices at (2, 1), (2.5, 3), (4.5, 3), (5, 1).
This translation can be described by
,
).
Answer:
A translation 8 units right and 2 units down
Mr.jake and me. sebastian are business partners. they divided the ratio of 3:2 the profit is 24,000. how much did mr.jake receive ?
Given the ratio of the profit share between the business partners Mr. Jake and Mr. Sebastian as 3:2, and the total profit as 24,000, the profit share received by Mr. Jake is 14,400.
The ratio of the shares of business partners Mr. Jake to Mr. Sebastian given to us is 3:2.
So we assume Mr. Jake's share of profit to be 3x, and Mr. Sebastian's share of profit to be 2x.
Thus, the total profit between them is 3x + 2x = 5x.
The total profit given is 24,000.
Thus, we get an equation:
5x = 24000,
or, x = 24000/5 = 4800.
Thus, the share of profit Mr. Jake receives is 3x = 3*4800 = 14400.
Thus, given the ratio of the profit share between the business partners Mr. Jake and Mr. Sebastian as 3:2, and the total profit as 24,000, the profit share received by Mr. Jake is 14,400.
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The functions f(x) and g(x) are graphed.
On a coordinate plane, a curved red line with an upward arc, labeled g of x, crosses the y-axis at (0, 4) and the x-axis at (2, 0). A straight blue line with a negative slope, labeled f of x, crosses the y-axis at (0, 4) and the x-axis at (2, 0).
Which represents where f(x) = g(x)?
f(0) = g(0) and f(2) = g(2)
f(2) = g(0) and f(0) = g(4)
f(2) = g(0) and f(4) = g(2)
f(2) = g(4) and f(1) = g(1)
Answer:
first option
Step-by-step explanation:
Always remember to graph a diagram :)
A study analyzed the average yearly salt intake in the united states from 2012 thru 2017. the data is summarized in the table: the study found that the data after the year 2012 can be modeled by the function f(x) = 52.3x + 3,548, where x is the the number of years since 2012 and f(x) is the total amount of salt ingested in grams. describe the significance of 3,548.
The significance of 3,548 estimates the average grams of salt used in 2012.
A connection between independent variables and the dependent variable.is defined by the function.
Functions help to represent graphs and equations. A function is represented by two variables, one is dependent, and another one is an independent function.
The study discovered that the function can represent the data after the year 2012 as,
f(x) = 52.3x + 3,548
Where x is the number of years since 2012.
Hence, The significance of 3,548 estimates the average grams of salt used in 2012.
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How many ways can seven finalists for a job be selected from eleven interviewees?
What makes this graph misleading?
Different bar widths
The bars should be horizontal
Inconsistent scale on the y-axis - Correct
Y-axis didn't start at zero
The reason the graph given is misleading is that there is an Inconsistent scale on the y-axis.
Why is the graph misleading?The y-axis is inconsistent because it went from 0 to 200 and instead of continuing to increase by 200, it begins to increase by 10.
This is misleading because the scale used has to be uniform or else it would be hard to read the data.
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Find the surface area of the composite figure.
5 cm
10 cm
4 cm
5 cm
SA =
10 cm
-8 cm
4 cm
12 cm
[?] cm²
If you'd like,
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Enter
Answer:
Step-by-step explanation:
5*10*2=100
8*10/2=40
12*4*2=96
12*5=60
4*5*2=40
100+40+40+96+60=336cm²
The surface area for the given composite figure is 442 cm²
What is surface area?The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Given is a composite figure, composed of a triangular prism and rectangular prism, attached to each other.
We will find the surface area of the composite figure by adding surface areas of both the solids and subtracting the common base area from it.
We know that, surface area of a triangular prism and rectangular prism, are S = bh+(b1+b2+b3)l and 2(lh+wh+lw) respectively.
Therefore, SA = 12(8)+(12+10+8)5 +2(12×5+4×5+12×4) - lw
= 96+150+2(60+20+48) - 12×5
= 246+256-60
= 442
Hence, The surface area for the given composite figure is 442 cm²
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ucscout word problem define the variables. (see screenshot) please help
Integrated math 3
The exponential equation for the number of Bacterian Camels in Mongolia is:
[tex]P(t) = 600(0.982)^t[/tex]
The parameters can be described as follows:
P is the population after t years.A is the initial population.r is the decay rate, as a decimal.t is the time in years.What is an exponential function?A decaying exponential function is modeled by:
[tex]P(t) = A(1 - r)^t[/tex]
In which:
P is the population after t years.A is the initial population.r is the decay rate, as a decimal.t is the time in years.For this problem, the values of the parameters are given as follows:
A = 600, r = 0.018.
Then the equation is:
[tex]P(t) = A(1 - r)^t[/tex]
[tex]P(t) = 600(0.982)^t[/tex]
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For the function F defined by F(x)=x2−2x+4, find F(|−4|)
By definition and properties of the absolute value used on the quadratic equation we conclude that F(|- 4|) = 12.
How to evaluate a quadratic equation with an absolute value
Herein we must apply the definition of absolute value prior to evaluating the quadratic equation defined in the statement. From algebra we know that absolute values are defined as:
|x| = x, when x ≥ 0 or - x, when x < 0. (1)
Then, we apply (1) on the quadratic equation:
F(|x|) = |x|² - 2 · |x| + 4
As x < 0, by absolute value properties:
F(|x|) = x² + 2 · x + 4
F(|- 4|) = (- 4)² + 2 · (- 4) + 4
F(|- 4|) = 16 - 8 + 4
F(|- 4|) = 12
By definition and properties of the absolute value used on the quadratic equation we conclude that F(|- 4|) = 12.
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Ummm can y’all solve these problems I’ll give extra points for this
Pls solve step by step and label which is which
Can someone help me with this and show work pleaseee!!!
Answer:
10 units and 157.84 units
Step-by-step explanation:
4
substitute t = 1 into the equation
h = - 16(1)² + 6 = - 16 + 6 = - 10
the value is negative since the ball travels down
the ball has travelled 10 units after 1 second
5
substitute t = 3.2 into the equation
h = - 16(3.2)² + 6 = - 16(10.24) + 6 = - 163.84 + 6 = - 157.84
the well is 157.84 units deep
You can approximate e by substituting large values for ninto the expression
You can approximate e by substituting large values for (1 + 1/n)^n into the expression.
How to illustrate the expression?It should be noted that an expression can simply be used to illustrate the information given in a data.
In this case, you can approximate e by substituting large values for (1 + 1/n)^n into the expression.
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Visual Description for Figure 1
Blue points, blue line segments, red points, and red line segments arranged on a Cartesian coordinate plane. Here are the blue points and their coordinates. Point A: (negative nine, 3). Point B: (negative 11, 3). Point C: (negative 10, 3). Point D: (negative 10, 5). Point F: (negative 10, 4). Point E: (negative 11, 4). Here are the red points and their coordinates. Point A-1: (negative 1, 6). Point A-2: (negative 3, 4). Point B-1: (negative 2, 4). Point B-2: (negative 5, 4). Point C-2: (negative 3, 3). Point D-1: (negative 5, 5). Point D-2: (negative 5, 3). Point E-1: (negative 6, 6). Point F-1: (negative 5, 6). A semicircle that lies below its line of symmetry AB. A semicircle that lies above its line of symmetry B-2 A-2. A triangle DEF. A triangle D-1 E-1 F-1. Line segments are drawn from C to D, from A-1 to B-1, from A-2 to B-2, and from C-2 to D-2. Triangle DEF, segment CD, and the semicircle with line of symmetry BA are arranged so that they look like a boat.
1. What transformations would you use on the blue segment CD to get it to match with the red segment C2D2? Explain your movement using the coordinates of the vertices.
2.
What transformations would you use on the blue triangle to get it to match with the red triangle? Explain your movement using the coordinates of the vertices.
3.
Which line segments on the boat are parallel? Explain your answer.
4.
Which line segments on the boat are perpendicular? Explain your answer.
5.
Which line segments on the boat have a slope of 0? Explain your answer.
6.
Which line segments on the boat have an undefined slope? Explain your answer.
7.
What is the slope of ED? Explain your answer using the change in coordinates given that E is at (−11,4) and D is at (−10,5).
The slope in question seven is 1. Below are the solutions to the remaining questions
In what means can Transformation occur ?Transformation of an object can occur in different ways. Such as translation, rotation, enlargement of different scale factors, reflection and dilation.
Given that Blue points, blue line segments, red points, and red line segments arranged on a Cartesian coordinate plane. Here are the blue points and their coordinates. Point A: (negative nine, 3). Point B: (negative 11, 3). Point C: (negative 10, 3). Point D: (negative 10, 5). Point F: (negative 10, 4). Point E: (negative 11, 4). Here are the red points and their coordinates. Point A-1: (negative 1, 6). Point A-2: (negative 3, 4). Point B-1: (negative 2, 4). Point B-2: (negative 5, 4). Point C-2: (negative 3, 3). Point D-1: (negative 5, 5). Point D-2: (negative 5, 3). Point E-1: (negative 6, 6). Point F-1: (negative 5, 6). A semicircle that lies below its line of symmetry AB. A semicircle that lies above its line of symmetry B-2 A-2. A triangle DEF. A triangle D-1 E-1 F-1. Line segments are drawn from C to D, from A-1 to B-1, from A-2 to B-2, and from C-2 to D-2. Triangle DEF, segment CD, and the semicircle with line of symmetry BA are arranged so that they look like a boat.
1. The transformations to use on the blue segment CD to get it to match with the red segment C2D2 is ROTATION of 180° Clockwise
2.The transformations to use on the blue triangle to get it to match with the red triangle is ROTATION of 360° Clockwise Explain your movement using the coordinates of the vertices.
3.The line segments on the boat that is parallel is line B2 to A2 because it is parallel to line D2 to C2
4.The line segments on the boat is perpendicular is line BCA because they are perpendicular to line CFD and AB.
5.The line segments on the boat have a slope of 0 is line BCA because change in y axis is 0
6.The line segments on the boat have an undefined slope is line DFC because change in x axis is 0. When denominator is zero, the fraction is undefined.
7.Given that E is at (−11,4) and D is at (−10,5), the slope of ED will be
Slope = Δy ÷ Δx
Slope = (5 - 4) ÷ (-10 + 11)
Slope = 1 ÷ 1
Slope = 1
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What's the slope and y-intercept?
Answer:
Slope: 2; Y-Intercept: (0,3)
Step-by-step explanation:
As you can see from the graph, it rises 4 and runs 2. So, the slope is 2. It intersects the y axis at (0,3)
Answer:
Slope: 3/2
Y-intercept: 3
Step-by-step explanation:
The line passes the y-axis at 3, and to find the slope you use rise over run. Our rise (which is going up) is 3, and our run (which is going across) is 2 (and since it moves from left to right, it is positive). The slope would be 3/2.
I hope it helps! Have a great day!
bren~
Most Swiss starlings produce four to five eggs in each clutch. Starlings producing fewer or more than this have reduced fitness. Which of the following terms best describes this situation
The term that describes the situation is called: stabilizing selection.
What is Stabilizing Selection?Unlike disruptive selection (diversifying selection) that tends to favor extreme traits when changes occur, stabilizing selection is defined as changes in population genetics in which extreme traits are not favored, rather, traits that are of intermediate variants are most favored and selected for.
Stabilizing selection can simply be described as the exact opposite of disruptive selection.
In the scenario given, traits of producing fewer starlings or more are extreme traits that are not favored and have reduced fitness. Intermediate variants of producing moderate number of starlings that have high fitness demonstrates the type of selection that is referred by the term called: stabilizing selection.
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Derivatives with the functions of multiplication, division and rule of the chain. derive the following algebraic functions using all the basic formulas of algebraic derivatives (it is important to do the procedure) y=2x3+5x4x-9 y=3x+2x2+5 y=(5x2-9)6
The derivatives of y=[tex]2x^{3}+5x^{2} +4x-9[/tex] is [tex]6x^{2} +10x+4[/tex], derivative of y=[tex]2x^{2} +3x+5[/tex] is 4x+3, derivative of [tex](5x^{2} -9)6[/tex] is 60x.
Given three functions y= [tex]2x^{3}+5x^{2} +4x-9[/tex], y=[tex]2x^{2} +3x+5[/tex], y=[tex](5x^{2} -9)6[/tex].
We have to find the derivative of functions.
Derivative of a function of a real variablemearsures the sensitivity to change of the function value with respect to a chaneg in its argument. Derivatives are a fundamental tool of calculas.
First function: y=[tex]2x^{3}+5x^{2} +4x-9[/tex], derivative can be as under:
dy/dx=2*3[tex]x^{2}[/tex]+2*5x+4 (derivative of x is 1)
(d[tex]x^{n}[/tex]/dx=n[tex]x^{n-1}[/tex])
dy/dx=6[tex]x^{2}[/tex]+10x+4
Second function: y=[tex]2x^{2} +3x+5[/tex], derivative can be as under:
dy/dx=2*2x+3
=4x+3
Third function:y=[tex](5x^{2} -9)6[/tex]
dy/dx=5*2x*6
=10x*6
=60x
Hence the derivative of first function is [tex]6x^{2} +10x+4[/tex], second function is 4x+3, third function is 60x.
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The segments shown below could form a triangle.
A
5
с
B
8
B
6
Based on the triangle inequality theorem, the statement that the given segments will form a triangle is TRUE.
What is the Triangle Inequality Theorem?If a, b, and c are lengths of a triangle, then,
a + b > c
a + c > b
b + c > a
Given the segments:
AC = 6
CB = 5
BA = 8
6 + 5 > 8 [true]
6 + 8 > 5 [true]
5 + 8 > 6 [true]
Therefore, it is true that the segments given could form a triangle.
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She spent 18.62 in grosherys she has 43.55 left how much did she have before she bought grashery
Answer:
Step-by-step explanation:
43.55 + 18.62 = 62.17
In the context of data models, relationships among records in a hierarchical model are called _____.
In the context of data models, relationships among records in a hierarchical model are called Branches. This is further explained below.
What are data models,?Generally, The act of generating a visual representation of either a whole information system or portions of it in order to express the linkages between different data points and structures is known as data modeling.
In conclusion, When discussing data models, the connections between different records in a hierarchical structure are referred to as "Branches."
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what is the maximum number of relative extrema contained in the graph of this function ? F(x) = 3x^4 - x^2 + 4x - 2
The maximum number of relative extrema of the given polynomial is; 3
How to find the maxima of a Polynomial Function?When trying to find the maximum number of relative extrema of a polynomial, we usually use the formula;
Maximum number of relative extrema contained in a polynomial = degree of this polynomial - 1.
We are given the Polynomial as;
f(x) = 3x⁴ - x² + 4x - 2
Now, the degree of the Polynomial would be 4. Thus;
Maximum number of relative extrema = 4 - 1
Maximum number of relative extrema = 3
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Ryan called each school in the district to determine wether or not they have a recycling program. What is true about Ryan’s data collection
Ryan's data collection is true that Ryan did a survey he asked about qualitative data.
Given that Ryan called every school in the district to find out if they had a recycling program.
We know that there are two types of data:
Quantitative data deals with numbers and things that we can count or measure such as dimensions such as height, width, and length.
Qualitative data relating to characteristics and descriptions cannot be counted or measured, but are observable by their qualities such as smell, taste, and color.
If we ask for quantitative data, the survey will be quantitative. Data recycling means the quality of the data available.
They can ask for a yes or no answer, as in the Ryan investigation.
Hence, the correct statement about Ryan's data collection is: Ryan conducted a survey in which he asked about qualitative data.
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PLEASE HELP 50 POINTS
I think for the first part 505 m and 53.1 degrees (Like they wrote, you need to repeat it) and same goes for the drcond part. In the last part, I think you need to add the directions. HOPE IT HELPS
*TIP: you can delete the answer the second person gave you to be able to recive more answers :)
The ________________ manages water resources in a 16-county region that stretches from Orlando to the Florida Keys, serving a population of 8.1 million (hint: Remember the water conservation calculator
South Florida Water Management
The South Florida Water Management District is a regional governmental agency that manages the water resources in the southern half of the state, covering 16 counties from Orlando to the Florida Keys and serving a population of 9 million residents.
Water management is the control and movement of water resources to minimize damage to life and property and to maximize efficient beneficial use. Good water management of dams and levees reduces the risk of harm due to flooding.
Water management is the activity of planning, developing, distributing and optimum use of water resources under defined water polices and regulations.
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Finding a sunken submarine in the middle of the ocean using Bayes' theorem: the search for the Scorpion.
Finding a sunken submarine in the middle of the ocean using Bayes' theorem to the search for USS Scorpion.
In the event of a missing vessel or aircraft at sea, in this case a submarine, Bayes search theorem can be applied.
The ocean using Bayes' theorem: the search for the Scorpion.
In May 1968, the U.S. Navy's nuclear submarine USS Scorpion (SSN-589) failed to arrive as expected at her home port of Norfolk. The command officers of the U.S. Navy were nearly certain that the vessel had been lost off the Eastern Seaboard, but an extensive search there failed to discover the remains of Scorpion.Then John P. Craven, a Navy deep-water expert, proposed that Scorpion had sunk somewhere else. Based on a contentious approximation of hydrophone triangulation, Craven organized a search southwest of the Azores. He was only given one ship, Mizar, and to make the most of his resources, he sought help from a team of consulting mathematicians. A Bayesian search approach was used. To develop theories regarding what might have led to Scorpion's loss, veteran submarine commanders were questioned.What is Bayes' theorem?
Bayes' theorem is a theorem in probability theory. It is a trivial consequence of the definition of conditional probability.Bayesian search theory is the application of Bayesian statistics to the search for lost objects.Learn more about Bayes' theorem
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y is inversely proportional to x².
When x = 4, y = 2.
Find y when x = 1 divided by 2
[tex]\textbf{Heya !}[/tex]
✏[tex]\bigstar\textsf{Given:-}[/tex]✏
y is inversely proportional to [tex]\sf{x^2}[/tex].✏[tex]\bigstar\textsf{To\quad find:-}[/tex] ✏
If y=2 when x=4, what is y when x=[tex]\frac{1}{2}[/tex] ?▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪
✏[tex]\bigstar\textsf{Solution\quad steps:-}[/tex] ✏
If y is inversely proportional to x^2, the equation looks as shown below:-
[tex]\sf{\longmapsto{y=\cfrac{k}{x^2}}[/tex], where k -- constant of proportionality
Plug in all values
[tex]\sf{\longmapsto{2=\cfrac{k}{4^2}}[/tex] , simplifying --
[tex]\sf{\longmapsto{2=k/16}[/tex]
multiply by 16 both sides
[tex]\sf{\longmapsto 2*16=k}}[/tex]
[tex]\sf{\longmapsto{32=k}}[/tex]
▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪
Plug 32 into the second equation:-
[tex]\sf{\longmapsto y=\cfrac{32}{\bigg(\cfrac{1}{2}\bigg)^2}}[/tex]
simplify the complex fraction
[tex]\longmapsto\sf{y=\cfrac{32}{\cfrac{1}{4}}[/tex]
divide fractions
[tex]\sf{\longmapsto{y=\cfrac{32}{1}\div\cfrac{1}{4}}=\cfrac{32}{1}\cdot}\cfrac{4}{1}}=128}[/tex]
`hope that was helpful to u ~
volume of a cone = r²h,
where r is the radius and h is the height.
A frustum is formed by removing a small cone from a similar, larger cone, as
shown below.
a) Calculate the radius of the original large cone.
b) Calculate the volume of the frustum to the nearest integer.
50 m height
10 m height of frustum
6m radius of frustum
Answer:
7.5 m 457.5[tex]\pi[/tex] [tex]m^{2}[/tex]
Step-by-step explanation:
First, visualize the original cone and the smaller cone as overlapping similar triangles. The scale factor of the original cone to the smaller cone is 50:40, so if the smaller cone has a radius of 6 m, then the radius of the original cone would be 7.5 m.
The volume of the frustum is the volume of the original cone minus the volume of the smaller cone. The formula for the volume of a cone is V = [tex]\frac{1}{3} \pi r^{2}h[/tex].
Original Cone = [tex]\frac{1}{3} \pi r^{2}h[/tex] = [tex]\frac{1}{3} \pi *7.5^{2}*50[/tex] = 937.5[tex]\pi[/tex]
Smaller Cone = [tex]\frac{1}{3} \pi r^{2}h[/tex] = [tex]\frac{1}{3} \pi *6^{2}*40[/tex] = 480[tex]\pi[/tex]
Frustum = 937.5[tex]\pi[/tex] - 480[tex]\pi[/tex] = 457.5[tex]\pi[/tex]