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Q: What is the volume of a cylinder 20 units high and 10 units in diameter?

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The volume of a right circular cylinder is the area of the base (which is pi times the radius squared) times the height of the cylinder. Working backwards, pi times radius squared times height is 6908 cubic units. The area of the base is pi times 10 squared, or pi times 100, or 314.16 square units for the area. That area, the 314.16 square units times the height is the 6908 cubic units, so to find the height, divide the area of the base into the volume. The 6908 cubic units divided by 314.16 square units is right at about 22 units, so the cylinder is about 22 units high.

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