28
QuizMultiple Choice

N/A — Exam

Question 28 • Geometry

The volume of a cone is 3⁢π⁢x3 cubic units and its height is x units. Which expression represents the radius of the cone’s base, in units?

Answer
A
3 x
B
9 pi x squared
C
3 pi x squared
D
6 x

Explanation

Use the cone volume formula, V = (1/3)πr²h. Substitute V = 3πx³ and h = x: (1/3)πr²x = 3πx³, which gives r² = 9x². Since a radius is positive, r = 3x, so the radius is 3x units.

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