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Maths-

General

Easy

Question

A right circular cone has a volume of $24 pi$ cubic inches. If the height of the cone is 2 inches, what is the radius, in inches, of the base of the cone?

$2 \sqrt{3}$
6
12
36

hint Hint:

Hint:
Volume of a cone is given by $v equals 1 third pi r squared h$

The correct answer is: 6

Explanation:

We have given a right circular cone with volume $24 pi$ , if the height of the cone is $text 2 inches end text$ .

We have to find the radius of the cone

We know that the volume of a cone is given by $v equals 1 third pi r squared h$ .

Step 1 of 1:
We know that the volume of a cone is given by $v equals 1 third pi r squared h$ .
Height is given 2 inches
So,
$v equals 1 third pi r squared h$
$24 pi equals 1 third pi r squared cross times 2$
$24 equals 1 third r squared cross times 2$
$r squared$ = 36
r = 6
Hence, Option B is correct.

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