Final answer:
The volume of the cone is V = 1/3 πr²h. With a height of 22 cm and a base radius of 3 cm, the volume is 66π cm³. Thus, the value of n is 66.
Step-by-step explanation:
The volume V of a right circular cone can be calculated using the formula V = 1/3 πr²h, where r is the radius of the base, and h is the height of the cone. The given cone has a height (h) of 22 cm and a diameter of the base of 6 cm, which means the radius (r) is half of the diameter, so r = 3 cm. Substituting these values into the formula gives us: V = 1/3 π(3 cm)²(22 cm), which simplifies to V = 66π cm³. Therefore, n is 66.