Question

What is the volume of the cone to the nearest whole number?

A.) 100π ft^3

B.) 33π ft^3

C.) 60π ft^3

D.) 180π ft^3

Answer 1

I believe the answer to be C. 

Answer 2

(A)
`100{\pi}ft^3`.

Explanation:

It is given from the figure that the radius of the cone is 5 feet and the height is 12 feet, then then volume of the cone is given as:

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

Substituting the given values, we get

`V={(1)/(3){\pi}(5)^2(12)`

`V={(1)/(3){\pi}(25)(12)`

`V={\pi}(25)(4)`

`V=100{\pi}ft^3`

Thus, the volume of the cone is
`100{\pi}ft^3`.

Hence, option (a) is correct.