Question

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

What expression represents the volume of the cone, in
cubic units?
2/3 pie x cubed
4/3 pie x squared
2 pie x cubed
4 pie x cubed
​

Answer 1

⅔πx³

Explanation:

The formula for the volume of a cone is

V = ⅓πr²h

Let x = radius of base.

Then 2x = height, and

V = ⅓πx²·2x = ⅔πx³