10
QuizMultiple Choice

Geometric Modeling — Test

Question 10 • Geometry

A cylinder has a radius of 2 point 8 inches and a height of 2 point 4 inches. Which cylinder is similar?

Answer
A
Image with description A cylinder was radius 1.4 inches and height 1.2 inches.
B
Image with description A cylinder was radius 5.6 inches and height 4.2 inches.
C
Image with description A cylinder was radius 1.8 inches and height 1.4 inches.
D
Image with description A cylinder was radius 2.4 inches and height 2.8 inches.

Explanation

Similar cylinders have the same ratio of radius to height. The original ratio is 2.8 ÷ 2.4 = 7/6, and choice D has ratio 1.4 ÷ 1.2 = 7/6, so its dimensions are both half the original dimensions. The cylinder with radius 1.4 inches and height 1.2 inches is similar.

AI-written and checked against the verified answer.

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