The volume of a cylinder is 243pi cmcubed. The radius of the base of the cylinder is 3 cm. What is the height of the cylinder?
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Part 1
The height of the cylinder is
enter your response here cm. (Simplify your answer.)
The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height.
Given that the volume of the cylinder is 243π cm^3 and the radius is 3 cm, we can plug in the values into the formula:
243π = π(3)^2h
243π = 9πh
27 = h
Therefore, the height of the cylinder is 27 cm.