Question

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 of the cone?
OA V=²²
OB. V-2²
V=
OC V=2²2²
OD. V-²³
OE V-3²³
base area = B
base area B

Answer 1

The correct answer is $V=\pi r^{3}$

What is the pyramid?

• A pyramid is a structure that substantially resembles a pyramid in the geometric sense when its exterior surfaces are triangular and converge to a single step at the summit. A pyramid foundation might be triangular, quadrilateral, or any other type of polygon. A pyramid therefore has a minimum of three exterior triangular surfaces.
• The numerous forms of pyramids are categorized based on the base's shape. Let's now go over each sort of pyramid shape individually.

The expression for the volume of the pyramid in terms of the radius of the cone:

B= base area of the cone.

$V=\pi r^{2}$

The volume of the Pyramid,

$V=\frac{1}{3} *B*height$

$\Rightarrow V=\frac{1}{3} \times \pi r^{2} \times 3 \gamma$

$V=\pi r^{3}$

Option A is the correct answer.

To learn more about Pyramid, refer to:

brainly.com/question/218706

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