Question

Which explanation can be used to informally derive the formula for the volume of a cone?

A. A cone consists of a circle as a base and triangles for its body. The formula for the volume of a cone can be derived by adding the formula for the area of circle and the area of the number of triangles that will cover the body of a cone.

B. A cone is approximately the same size as 1.5 spheres. Using the formula for the volume of a sphere and multiplying it by 1.5 will give the formula for the volume of a cone.

C. A cone is similar to a triangular pyramid except that a cone has curved edges. Therefore, the formula for the volume of a cone can be derived by using the formula of a triangular pyramid and using the radius instead of the base length.

D. A cylinder is exactly 3 times bigger than a cone with the same height and radius. Therefore, the formula for the volume of a cone is 1/3 of the volume of a cylinder with the same height and radius.

Answer 1

@Shadow

Answer 2

\[V_{c} = \pi r^2 \frac{ h }{ 3 }\]
I have to go but hopefully this gives you some idea

Volume of a cone is equal to pi multiplied by the radius squared, multiplied by the height divided by three.

Answer 3

D