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.

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.