Question

The base diameter and the height of a cone are both equal to x units.

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

πx2
2πx3
πx2
πx3

Answer 1

By definition, the volume of a cone is given by:

`image`

Where,

r: cone circular base radius

h: height of the cone

Substituting values we have:

`image`

Rewriting the equation we have:

`image`

`image`

Answer:

An expression that represents the volume of the cone, in cubic units is:

`V = ((1)/(12)) * (\pi) * (x ^ 3)`

Note: rewrite the options again.