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With the area of the base known, you can back figure to the radius. But unless you know the cylinder's volume, or are told that it's height is equal to the radius or diameter or circumference of the base, there's no way to find the height short of measuring it. To find the radius, you take the area of the base and divide it by pi. The resulting dividend is r2. Find the square root of the dividend, and you have the radius.

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Q: How do you find the height and radius of a cylinder with only the area of the base?
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