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A right cone shows a base diameter of 14 millimeters and a perpendicular height of 12 millimeters. A right angle is formed with the diameter and the height at the center of the circular base.

What is the volume, in cubic millimeters, of the cone? Use 3.14 for pi. Round your answer to the nearest hundredth.(1 point)
cubic millimeters

1 answer

To find the volume of a cone, we can use the formula:

Volume = (1/3) * π * r^2 * h

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

In this case, the base diameter is given as 14 millimeters, so the radius is half of that, which is 7 millimeters. The height is given as 12 millimeters.

Plugging in these values into the formula, we have:

Volume = (1/3) * 3.14 * (7^2) * 12
= (1/3) * 3.14 * 49 * 12
= 3.14 * 49 * 4
= 6157.04

Rounding to the nearest hundredth, the volume of the cone is approximately 6157.04 cubic millimeters.