SOLUTION: The surface areas of two similar cylinders are 6ft2 and 54ft2. The volume of the smaller cylinder is 2ft3. What is the volume in cubic feet of the larger cylinder?

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Question 567609: The surface areas of two similar cylinders are 6ft2 and 54ft2. The volume of the smaller cylinder is 2ft3. What is the volume in cubic feet of the larger cylinder?
Answer by Alan3354(69443) About Me  (Show Source):
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The surface areas of two similar cylinders are 6ft2 and 54ft2. The volume of the smaller cylinder is 2ft3. What is the volume in cubic feet of the larger cylinder?
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The surface areas of two similar cylinders are 6ft2 and 54ft2
The ratio of dimensions is 3 to 1.
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The volume of the smaller cylinder is 2ft3. What is the volume in cubic feet of the larger cylinder?
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The ratio of the volumes is the cube of 3 to 1 = 27 to 1
--> 54 cubic ft