V= 1/3πr2h
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 7
(1 point)
6 cm
19 cm
2 cm
15 cm
To find the radius of the cone, we need to rearrange the volume formula to solve for r:
V = 1/3 * π * r^2 * h
500 = 1/3 * π * r^2 * 13.5
500 = (13.5/3) * π * r^2
500 = 4.5 * π * r^2
r^2 = 500 / (4.5 * π)
r^2 ≈ 23.62
r ≈ √23.62
r ≈ 4.86 cm
Therefore, the approximate radius of the cone is 4.86 cm, which is closest to 6 cm. So, the answer is 6 cm.