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What is the height of a vase whose volume is 339 cubic inches and diameter of 6 inches?
The volume of a cylinder is given V = pi * r^2 * h where r is the radius and h is the height. Solving the equation for h, we get h = V / (pi * r^2). The diameter is twice the radius so the radius is 6 / 2 = 3 inches. For this problem, h = 339 / (pi * 3^2) = 11.99 so the height of the vase is approximately 12 inches.
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