Find the volume, in cubic inches, of a cylinder with a diameter of 16 inches and a height of 7 inches. Use 3.14 for pi. Round your answer to the nearest hundredth.(1 point)

cubic inches

its not 1408.96, 1409.28 or 1409.92 or 1404.16

3 answers

The correct answer is 1404.16 cubic inches.

To find the volume of a cylinder, you use the formula V = πr^2h, where V is the volume, π is approximately 3.14, r is the radius (half of the diameter), and h is the height.

In this case, the diameter is 16 inches, so the radius would be 16/2 = 8 inches. The height is given as 7 inches.

Plugging these values into the formula, we have V = 3.14 * (8)^2 * 7 = 3.14 * 64 * 7 = 1404.16 cubic inches.

Therefore, the volume is 1404.16 cubic inches.
wrong
Apologies for the mistake. Let's calculate the volume correctly.

The formula to calculate the volume of a cylinder is V = πr^2h, where V is the volume, π is approximately 3.14, r is the radius, and h is the height.

Given that the diameter of the cylinder is 16 inches, the radius would be half of that, which is 8 inches. The height is given as 7 inches.

Plugging these values into the formula, we have V = 3.14 * (8)^2 * 7 = 3.14 * 64 * 7 = 1404.16 cubic inches.

Rounded to the nearest hundredth, the volume is 1404.16 cubic inches.

It seems that the correct answer is indeed 1404.16 cubic inches.