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A cylinder has a radius of 5 and a volume of 150pi. What is the height of the cylinder?

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Answer: 6 units

Explanation:

The formula for the volume of a cylinder is V = πr²h, where V is the volume, r is the radius, and h is the height.

In this case, we know that the radius (r) of the cylinder is 5, and the volume (V) is 150π. Substituting these values into the formula, we get:

150π = π(5²)h

Simplifying the equation, we get:

150 = 25h

Dividing both sides by 25, we get:

h = 6

Therefore, the height of the cylinder is 6 units.

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