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.

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3 answers

The radius of the cylinder is half of the diameter, so the radius is 16/2 = <<16/2=8>>8 inches.
The formula for the volume of a cylinder is V = πr^2h, where V is the volume, π is a mathematical constant (approximately 3.14), r is the radius, and h is the height.
Plugging in the given values, we get V = 3.14(8^2)(7).
Simplifying, we get V = 3.14(64)(7) = 1408.32 cubic inches.
Therefore, the volume of the cylinder is approximately 1408.32 cubic inches.
that is wrong bot
Apologies for the mistake.

To find the volume of a cylinder, we use the formula V = πr^2h.

Given that the diameter is 16 inches, the radius is half of that, which is 8 inches. And the height is 7 inches.

Plugging in these values, we get V = π(8^2)(7).

Calculating, we have V = π(64)(7) = 1408π cubic inches.

Since we are asked to round to the nearest hundredth, we can approximate π to 3.14.

Therefore, the volume of the cylinder is approximately 1408 * 3.14 = 4423.52 cubic inches, rounded to the nearest hundredth.

Hence, the volume of the cylinder is about 4423.52 cubic inches.