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The volume of a right circular cylinder is 27,355.68 mm3. Find the height of the cylinder if the radius is 22 mm. Use 3.14 for π.

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Answered by GPT 3.5
The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height. Given that V = 27,355.68 mm3 and r = 22 mm, we can plug in these values to find the height:

27,355.68 = 3.14 * (22^2) * h
27,355.68 = 3.14 * 484 * h
27,355.68 = 1521.56 * h
h = 27,355.68 / 1521.56
h = 18 mm

Therefore, the height of the cylinder is 18 mm.

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