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.

Question

asked Sep 22, 2021 148k views

1 Answer

Lillianna · Answer 1 · 2021-09-28T03:14:29+0000

Answer:

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
$31400\ \text{feet}^3$ .