What is the volume, in cubic milimeters, of a cone with a diameter of 14 inches and a height of 12 inches? Use 3.14 for pi. Round your answer to the nearest hundredth. (1 point)

Answer 1

First, we need to convert the diameter and height from inches to millimeters.

Diameter: 14 inches * 25.4 mm/inch = 355.6 mm
Height: 12 inches * 25.4 mm/inch = 304.8 mm

Next, we can calculate the radius of the cone:

Radius = Diameter / 2 = 355.6 mm / 2 = 177.8 mm

Now we can use the formula for the volume of a cone:

Volume = (1/3) * pi * r^2 * h

Volume = (1/3) * 3.14 * 177.8^2 * 304.8

Volume ≈ 3.14 * 177.8^2 * 304.8 / 3

Volume ≈ 99847.9863 cubic millimeters

Rounding to the nearest hundredth, the volume of the cone is approximately 99847.99 cubic millimeters.