PLEASE HELP ME !!!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?

base area for cone= B
base area for pyramid= B, 3r heigh

A. V = pi r³
B. V = 1/3 pi r²
C. V = 2 pi r²
D. V = 1/9 pi r³
E. V = 3 pi r³

Answers

Answer 1
Answer:

The expression for the volume of the pyramid in terms of the radius r of the cone is \pi r^3. So, option A is correct.

The cone is a three-dimensional figure with a vertex and a flat base.

The volume of a pyramid is given by the formula:

V = (1)/(3) * base\ area * height.

Given that:

The base area of the pyramid = B

The height is 3r

The base area of the pyramid is the same as that of the cone.

The base of the cone = \pi r^2

The volume of the pyramid is calculated as:

V = (1)/(3) * \pi r^2 * 3r

V =\pi r^3

Therefore, the volume of the pyramid is \pi r^3. So, option A is correct.

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Answer 2
Answer:

Answer:

The answer is A. V=pi r³

Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Answers

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Answers

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Answers

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