Q5 of 79 Page 238

The radii of two right circular cylinders are in the ratio 2 : 3. Find the ratio of their volumes if their heights are in the ratio 5 : 3.

GIVEN :


For cylinder C1 : radius is r1


Height is h1


Volume is V1


For cylinder C2 : radius is r2


Height is h2


Volume is V2


So we have, =


=


we take π =


TO FIND : = ?


PROCEDURE :


As we know, that


Volume of a cylinder “V” = π r2h


So, = = ×


= ×


= ×


= ×


=


∴ the ratio between the 2 cylinders ie. =


ie. V1 : V2 = 20:27


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