5
QuizMultiple Choice

Geometric Modeling in Two- and Three- Dimensions — Test

Question 5 • 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 has a radius of 1.8 inches and a height of 1.4 inches.
B
Image with description A cylinder has a radius of 2.4 inches and a height of 2.8 inches.
C
Image with description A cylinder has a radius of 5.6 inches and a height of 4.2 inches.
D
Image with description A cylinder has a radius of 1.4 inches and a height of 1.2 inches.

Explanation

Similar cylinders have the same ratio of radius to height. The original cylinder’s ratio is 2.8 ÷ 2.4 = 7/6. Choice D has a ratio of 1.4 ÷ 1.2 = 7/6, so its dimensions are proportional to the original’s. The other choices do not have this ratio.

AI-written and checked against the verified answer.

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