Question

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

Answer 1

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,

$V=\frac{1}{3} \pi r^2 h$

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

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

$V=\frac{1}{3}A h$

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

$90=\frac{1}{3}A (12)$

$90=4A$

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.