Question

A cone has a volume of 100 cubic centimeters and a height of 12 centimeters. What is the

radius of the base of the cone in centimeters?

Answer 1

the answer is 5 cm

hope this helps

Answer 2

Hi there!

`\large\boxed{r = 5 cm}`

The volume of a cone is as follows:

V = 1/3πr²h

We are given the volume and height, thus:

100π = 1/3πr²(12)

Begin by multiplying both sides by 3 (to cancel out the fraction):

300π = πr²(12)

Divide both sides by 12:

25π = πr²

Divide both sides by π:

25 = r²

Square root both sides:

5 = r