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What is the volume of a cylinder, in cubic in, with a height of 16in and a base diameter of 20in? Round to the nearest tenths place.

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Answer: The cylinder's volume is roughly 5026.55 cubic inches.

Step-by-step explanation: The volume of a cylinder is calculated using the formula V = r2h, where r is the radius of the base and h is the cylinder's height.

The radius of the base is half the diameter of the base, or 10in.

With the provided values, we get: V = (10in)2(16in).

1600 cubic inches = V

V 5026.55 cubic inches (rounded to the nearest tenths of a millimeter)

As a result, the cylinder's volume is roughly 5026.55 cubic inches.

User Hsebastian
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3 votes

Answer:

The volume of a cylinder is given by the formula V = πr^2h, where r is the radius of the base and h is the height of the cylinder.

The diameter of the base is 20in, so the radius is half of that, or 10in.

Plugging in the given values, we get:

V = π(10in)^2(16in)

V = 1600π cubic inches

V ≈ 5026.55 cubic inches (rounded to the nearest tenths place)

Therefore, the volume of the cylinder is approximately 5026.55 cubic inches.

User Olivier Lacan
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7.9k points
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