Describe how the volume formula for a cone differs from the volume formula of a pyramid.(1 point)

Question

Responses

The volume of a cone is the same as the volume of a pyramid.
The volume of a cone is the same as the volume of a pyramid.

Since the base of the cone is a circle, the volume formula uses the area of a circle for the base area.
Since the base of the cone is a circle, the volume formula uses the area of a circle for the base area.

The volume of a cone is 13
1
3
the volume of a cylinder with the same dimensions.
The volume of a cone is Start Fraction 1 over 3 End Fraction the volume of a cylinder with the same dimensions.

The volume of a cone is three times the volume of a pyramid.

Answer 1

The correct response is:

"Since the base of the cone is a circle, the volume formula uses the area of a circle for the base area."

This highlights the key difference where the base shape of a cone (a circle) requires the use of the formula for the area of a circle (πr²) in its volume calculation, whereas a pyramid’s base can be any polygon, and the volume formula uses the area of that polygon. The volume formulas themselves do share the same overall structure, being V = (1/3) * base area * height, but the specific base area calculation differs depending on the shape of the base.