Question

The height of a cone is twice the radius of its base,

What expression represents the volume of the cone, in

cubic units?

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Answer 1

`(2)/(3)\pi r^3 $ cubic units`

Explanation:

Given a cone of base radius, r and perpendicular height, h

`\text{Volume of the cone }=(1)/(3)\pi r^2 h`

Since the height of a cone is twice the radius of its base.

• h=2r

`\text{Volume of the cone }=(1)/(3)\pi r^2 (2r)\\=(2)/(3)\pi r^3 $ cubic units`

The expression that represents the volume of the cone, in cubic units is
`(2)/(3)\pi r^3 $ cubic units`.