7
QuizMultiple Choice

Changing Dimensions of 3-D Figures — Cumulative exam

Question 7 • (OC27) GEO-1206310-S2-Degele-VOL7006P

The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 24π cubic units.What is the height of the cylinder?

Answer
A
2 units
B
4 units
C
6 units
D
8 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 C, 6 units.

AI-written and checked against the verified answer.

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