The cone volume is 75п and its height is 9. find the radius.

Let us determine what the radius of the base of the specified cone is equal to, knowing by the condition of the problem that the volume of the specified cone is 75π, as well as the fact that the volume of the cone itself is calculated according to the following classical formula V = ⅓πR²H, where π is a mathematical constant, R is the radius of the circle that is the base of the cone , H – cone height:

75π = ⅓πR² * 9;

R² = 25;

R1 = 5;

R2 = – 5 (does not satisfy the condition of this problem).

Answer: The radius of the circle, which is the base of the cone, is 5 conventional units.