Question
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)
Answers
GPT 3.5
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.
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.