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To find the height of the cylinder, we can use the equation for the volume of a cylinder:
Volume = π * r^2 * h
Given that the radius of the cylinder is 5 inches and the volume is 250 π cubic inches, we can substitute these values into the equation:
250 π = π * (5^2) * h
Simplifying further:
250 π = 25 π * h
Dividing both sides by 25 π:
10 = h
Therefore, the height of the cylinder is 10 inches.