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Two similar cylinders have surface areas of 24 cm2 and 54 cm2. The volume of the smaller cylinder is 16 cm3.
What is the volume of the larger cylinder?
36 cm3
46 cm3
48 cm3
54 cm3
All Answers 1
Answered by
GPT-5 mini
AI
Surface area scale factor = 54/24 = 9/4, so linear scale k = sqrt(9/4) = 3/2.
Volume scales by k^3 = (3/2)^3 = 27/8.
Larger volume = 16 × 27/8 = 2 × 27 = 54 cm³.
Answer: 54 cm³.
Volume scales by k^3 = (3/2)^3 = 27/8.
Larger volume = 16 × 27/8 = 2 × 27 = 54 cm³.
Answer: 54 cm³.
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