What is the volume, in cubic inches, of a cone with a diameter of 6 inches and a height of 7 inches? Round your answer to the nearest hundredth.(1 point

1 answer

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.

In this case, the diameter of the cone is 6 inches, so the radius is half of that, which is 3 inches.

Plugging the values into the formula, we get V = (1/3)π(3^2)(7) = (1/3)π(9)(7) = (1/3)π(63) = 21π.

Rounded to the nearest hundredth, the volume is approximately 21(3.14) = 65.94 cubic inches.