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BlackZzzverrR [31]

3 years ago

7

The height of the pyramid in the diagram is three times the radius of the cone. The base area of the pyramid is the same as the

base area of the cone. What is the expression for the volume of the pyramid in terms of the radius r of the cone?

2 answers:

drek231 [11]3 years ago

4 0

B(cone)=B(pyramid)=r²π
V(pyramid)=1/3 * B * H = 1/3 * r² π * 3 r ( 3 will cancel out )= r³ π
Answer: r³ π

Inessa [10]3 years ago

4 0

Hello,

base of the pyramid :πr²
height=r

Volume=b*h/3=1/3* π*r^3

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5) DE = 7 units and DF = 4 units

6) ST = 8 units

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<u>Information from Parts 1-4:</u>

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$f(x)=-x+3$

$g(x)=x^2-9$

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<h3><u>Part (5)</u></h3>

Points A and D are the <u>points of intersection</u> of the two functions.

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Apply the zero-product property:

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The length of DF is the difference between the x-value of D and the x-axis:

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<h3><u>Part (6)</u></h3>

To find point S, substitute the x-value of point T into function g(x):

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Therefore, S = (4, 7).

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Therefore, ST = 8 units.

<h3><u>Part (7)</u></h3>

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