Question

Find the volume of a cone with a base radius of 6 m and a height of 9 m . Write the exact volume in terms of pi , and be sure to include the correct unit in your answer.

Answer 1

108π

Explanation:

The formula for the volume of a cone is:

V = (1/3)πr^2h

where r is the radius of the base and h is the height.

Plugging in the given values, we get:

V = (1/3)π(6^2)(9)

V = (1/3)π(36)(9)

V = (1/3)π(324)

V = 108π

Therefore, the exact volume of the cone is 108π cubic meters.