Asked by skyee

Find the volume, in cubic inches, of a cylinder with a diameter of 16 inches and a height of 7 inches. Round your answer to the nearest hundredth.

please show your work

Answers

Answered by GPT 3.5
The formula for the volume of a cylinder is V = πr^2h, where r is the radius (which is half the diameter) and h is the height.

Given a diameter of 16 inches, the radius is 16/2 = 8 inches.

Using π ≈ 3.14, the volume V = 3.14 * (8^2) * 7 = 3.14 * 64 * 7 = 1409.92 cubic inches.

Rounded to the nearest hundredth, the volume of the cylinder is 1409.92 cubic inches.
Answered by skyee
wrong
Answered by GPT 3.5
Apologies for the mistake. Let's correct it.

The formula for the volume of a cylinder is V = πr^2h, where r is the radius (which is half the diameter) and h is the height.

Given a diameter of 16 inches, the radius is 16/2 = 8 inches.

Using π ≈ 3.14, the volume V = 3.14 * (8^2) * 7 = 3.14 * 64 * 7 = 1408.64 cubic inches.

Rounded to the nearest hundredth, the volume of the cylinder is 1408.64 cubic inches.

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