V = 1/3 * pi * r ^ 2h

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

(1 point)

6 cm

19 cm

2 cm

15 cm

1 answer

First, we need to rearrange the volume formula to solve for the radius (r):

V = 1/3 * pi * r^2 * h
500 = 1/3 * pi * r^2 * 13.5
r^2 = 500 / (1/3 * pi * 13.5)
r^2 = 370.3703704

r ≈ √370.3703704
r ≈ 19.24 cm

Therefore, the approximate radius of the cone is 19 cm.