Q4 of 67 Page 190

The radii of two right circular cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 4. Calculate the ratio of their curved surface areas and the ratio of their volumes.

Let the radii of two circles r1 and r2


⇒ =


Let the heights of two cylinders h1 and h2


⇒ =


Curved surface area of cylinder = 2πrh


Ratio of their surface areas =


= ×


= ×


=


Volume of cylinder = πr2h


Ratio of their volumes =


= ×


= ×


= ×


=


Therefore, ratio of their curved surface areas is 5:6 and the ratio of their volumes is 5:9


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