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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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1w ago

The formula for the volume of a cylinder is V = πr^2h, where r is the radius of the base and h is the height. Plugging in the values given (V = 6908, r = 10), we can solve for h to find that the height of the cylinder is 22 units.

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Q: What is the height of a cylinder whose volume is 6908 cubic units and whose base radius is 10 units?
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