Question

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

What expression represents the volume of the cone, in
cubic units?
orx?
2/3 pi x ^3
4/3 pi x ^2
2 pi x^3
4 pi x ^3

Answer 1

The Answer Is:

2/3pix^3

Answer 2

This first expression is correct

V= 2/3*pi*r³

Explanation:

This problem bothers on the volume of a cone

We know that the volume of a cone is expressed as

V= 1/3πr²h

Given that h= 2r

Let us substitute h=2r in the formula above

V= 1/3πr²*2r

V= 2/3πr³