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?

Answer 1

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

V = (1/3) * π * r^2 * h

Given that the volume of the cone is 500 cm^3 and the height is 13.5 cm, we can plug these values into the formula and solve for the radius (r).

500 = (1/3) * π * r^2 * 13.5
r^2 = (3 * 500) / (π * 13.5)
r^2 = 111.11
r ≈ √111.11
r ≈ 10.54

Therefore, the approximate radius of the cone is 10.54 cm.