Volume of a cone is 500cm^3 and height is 13.5 cm the hard the approximate radius? A. 19 b. 2 c. 6 d. 15
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 (V) is 500 cm^3 and the height (h) is 13.5 cm, we can substitute these values into the formula:
500 = (1/3) * π * r^2 * 13.5
Solving for the radius (r), we get:
r^2 = (3 * 500) / (13.5 * π)
r^2 = 111.111
r ≈ √111.111
r ≈ 10.55 cm
Therefore, the approximate radius of the cone is approximately 10.55 cm, which is closest to option A. 19.