10
QuizMultiple Choice

Chapter 12 Unit TEST: Surface Area and Volume

Question 10 • (OC27) GEO-1206310-S2-Degele-VOL7006P

Two cylinders are similar. The radius of cylinder A is 5.6 inches. The radius of cylinder B is 1.4 inches. If the height of cylinder B is 4 inches, what is the height of cylinder A?

Answer
A
8.2 inches
B
8.2 square inches
C
16 inches
D
16 square inches

Explanation

For similar cylinders, corresponding lengths have the same scale factor. The radius scale factor from cylinder B to cylinder A is 5.6 ÷ 1.4 = 4, so cylinder A’s height is 4 × 4 = 16 inches. The correct choice is 16 inches; square inches measure area, not height.

AI-written and checked against the verified answer.

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