Question

What is the volume of a right circular cone if the circumference of the base is 125.6 ft and the height is 75 ft.? Use π=3.14 and round to the nearest tenth.

Answer 1

The volume of a right circular cone is
`31400\ \text{feet}^3`.

Explanation:

The circumference of the base of a right circular cone is 125.6 ft.

Height of cone is 75 ft.

Circumference of base is :

`C=2\pi r`, r is radius

`r=(C)/(2\pi)\\\\r=(125.6)/(2* 3.14)\\\\r=20\ ft`

The volume of a cone is given by :

`V=(1)/(3)\pi r^2 h\\\\V=(1)/(3)* 3.14* (20)^2* 75\\\\V=31400\ \text{feet}^3`

So, the volume of a right circular cone is
`31400\ \text{feet}^3`.