V=1/3πr^2h

Question

The volume of a cone is 500 cm^3
and the height is approximately 13.5 cm, what is the approximate radius of the cone?

(1 point)
Responses

2 cm
2 cm

15 cm
15 cm

6 cm
6 cm

19 cm
19 cm

Answer 1

To find the radius of the cone, we can rearrange the formula for volume of a cone:

V = 1/3 * π * r^2 * h

Given: V = 500 cm^3, h = 13.5 cm

500 = 1/3 * π * r^2 * 13.5
500 = 4.5π * r^2
r^2 = 500 / (4.5π)
r^2 ≈ 35.08
r ≈ √35.08
r ≈ 5.93

The approximate radius of the cone is 5.93 cm, which is closest to 6 cm from the provided options. So, the answer is 6 cm.