Question

Sergio has two similar cylindrical pots, Pot A and Pot B. The radius of Pot A is 15 inches, and the radius of Pot B is 3 inches. What is the ratio of the volume of Pot A to the volume of Pot B?

125 : 1
25 : 1
10 : 1
5 : 1

Answer 1

definately 5:1

Answer 2

125 : 1
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If two solids are similar, then the cube of their scale factor is the ratio of their volumes.
The scale factor from A to B is 15/3 or 5/1.
(5/1)^3 = Vol A/ Vol B
125 / 1 = Vol A/ Vol B