What is the area of the base of the cone below?

Question

asked Jul 13, 2021 155k views

2 Answers

Jim Meyer · Answer 1 · 2021-07-19T09:38:22+0000

Given:

Given that the height of the cone is 12 ft.

The volume of the cone is 90 ft³

We need to determine the area of the base of the cone.

Area of the base of the cone:

The area of the base of the cone can be determined using the formula,

$V=(1)/(3) \pi r^2 h$

where the base area is
$A=\pi r^2$

Substituting the value of A in the above formula, we get,

V=(1)/(3)A h

Substituting V = 90 and h = 12, we get;

90=(1)/(3)A (12)

90=4A

Dividing both sides by 4, we get;

22.5 =A

Thus, the area of the base of the cone is 22.5 square feet.

Hence, Option c is the correct answer.