26
QuizMultiple Choice

Solving for Angle Measures of Right Triangles — Cumulative exam

Question 26 • *CR CCSS Math 2 S2 [M2960OX]

The volume of a cone is 3πx3 cubic units and its height is x units.Which expression represents the radius of the cone’s base, in units?

Answer
A
3x
B
6x
C
3πx2
D
9πx2

Explanation

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

AI-written and checked against the verified answer.

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