Question

The height of a cone is equal to the diameter of the base.

(2x height, x radius)

What expression represents the volume of the cone, in cubic units?

A. 2/3 πx^3
B. 4/3 πx^2
C. 2πx^3
D. 4πx^3

Answer 1

a 2/3 pi x ^2 is the best choice

Answer 2

we know that

the volume of a cone is equal to

`V=(1)/(3) \pi r^(2)h`

where

r is the radius of the base of the cone

h is the height of the cone

in this problem we have

`r=x\ units\\h=2x\ units`

substitute in the formula

`V=(1)/(3) \pi x^(2)2x`

`V=(2)/(3) \pi x^(3)\ units^(3)`

therefore

the answer is the option A

`(2)/(3) \pi x^(3)\ units^(3)`