The radii of two right circular cylinders are in the ratio 2:3 and the ratio of their curved surface area is 5:6.Find the ratio of their heights
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Ratio of radii = 
Let  and 
Ratio of heights = 
Let  and 
CSA of the first cylinder = 2πrh  = 
CSA of the second cylinder = 2πRH =  = 
Ratio of their CSA = 
Hence the ratio of the volumes of cylinders is 5:6
Volume of the first cylinder = πr2h =  = 
Volume of the second cylinder = πR2H =  = 
Ratio of their Volume = 
Hence the ratio of the volumes of cylinders is 5:9
Let  and 
Ratio of heights = 
Let  and 
CSA of the first cylinder = 2πrh  = 
CSA of the second cylinder = 2πRH =  = 
Ratio of their CSA = 
Hence the ratio of the volumes of cylinders is 5:6
Volume of the first cylinder = πr2h =  = 
Volume of the second cylinder = πR2H =  = 
Ratio of their Volume = 
Hence the ratio of the volumes of cylinders is 5:9
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