Question

A cone has a radius of 6 inches and a height of 10 inches.

What is the exact volume of the cone?

A.


240π in3











B.


120π in3











C.


40π in3











D.


360π in3

Answer 1

The volume of a cone:

`V=(1)/(3) \pi r^2h`
r - the radius
h - the height


`r=6 \\ h=10 \\ \\ V=(1)/(3) \pi * 6^2 * 10=(1)/(3) \pi * 36 * 10=(360)/(3) \pi=120\pi`

The answer is B. 120π in³.

Answer 2

Answer: Option 'B' is correct.

Explanation:

Since we have given that

Radius of cone = 6 inches

Height of cone = 10 inches

We need to find the "volume of cone":

As we know the formula for "Volume of cone":

`Volume=(1)/(3)\pi r^2h\\\\Volume=(1)/(3)\pi * 6* 6* 10\\\\Volume=120\pi\ cm^3`

Hence, Exact volume of cone is 120π cm³.

Therefore, Option 'B' is correct.