The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 24 pi cubic units. What is the height of the cylinder?
Answer
A
2 units
B
4 units
C
8 units
D
6 units
Explanation
The cylinder’s volume is V = πr²h, and its height is h = 3r. Substituting gives 3πr³ = 24π, so r³ = 8 and r = 2; therefore, h = 3(2) = 6 units. The correct choice is 6 units.
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