The volume of a cone is 3 pi x cubed cubic units and its height is x units. Which expression represents the radius of the cone’s base, in units?
Answer
A
9 pi x squared
B
3 pi x squared
C
3 x
D
6 x
Explanation
Use the cone volume formula, V = (1/3)πr²h. Substituting V = 3πx³ and h = x gives (1/3)πr²x = 3πx³, so r² = 9x² and the radius is 3x. The correct choice is 3x.
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