V=1/3πr^2h
The volume of a cone is 500 cm3
and the height is approximately 13.5 cm, what is the approximate radius of the cone?
(1 point)
Responses
6 cm
19 cm
15 cm
2 cm
explain which is correct and why
First, we can rearrange the formula for volume of a cone to solve for the radius (r):
V = 1/3πr^2h
500 = 1/3πr^2 * 13.5
500 = 4.5πr^2
r^2 = 500 / 4.5π
r^2 ≈ 37.037
r ≈ √37.037
r ≈ 6.08
So, the approximate radius of the cone is 6 cm. Therefore, the correct answer is:
6 cm