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A sculptor is planning to order a cylinder of composite stone to sculpt a full-sized person. The figure will be 6 feet tall, and 2’ at the longest diameter. The composite stone weighs 50 pounds per cubic foot. About how much will the smallest cylinder weigh that the sculptor can order to make his statue?

1 Answer

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Answer: About 942.48 pounds

Explanation:

The volume of a cylinder is πr²h

Plug in values:

(diameter is 2, so the radius is 1)

Volume = π(1)²6

Volume = 6π

Volume ≈ 18.8496 (to 4 decimal places)

Multiply that by 50:

18.8496 x 50 = 942.48

The smallest cylinder will weigh about 942.48 pounds.

Note the answer may change depending on how many decimal places you were told to go out. The standard is 4 places.

Hope this helps!

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