Question

find the volume of a cone with a base diameter of 12in and a height of 9in . write the exact volume in terms of π , and be sure to include the correct unit in your answer.

Answer 1

The volume (V) of the cone is 1/3 of the product of the area (A) of the base and height (h). The area of the circular base is, A = πd²/4. So,
                               V = πd²h/ 12
Substituting the given values,
                                V = π(12 in)²(9 in) / 12 = 108π in³
Thus, the volume of the cone is 108π in³.