The radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3. The ratio of their volumes is ______.

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The radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3. The ratio of their volumes is 20 : 27. Explanation: Let the radii of the two cylinders be 2r and 3r and their heights be 5h and 3h, respectively. Then, ratio of their volumes`=(pixx(2"r")^2xx5"h")/(pixx(3"r")^2xx3"h" =(4"r"^2xx5)/(9"r"^2xx3) =$\frac{20}{7}$` = 20 : 27

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