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Question

The heights of two circular cylinders of equal volume are in the ratio 1 : 2. The ratio of their radii is
(a) 1:2
(b) 2:1
(c) 1 : 2
(d) 1 : 4


Solution

(b) 2:1
Let the radii of the two cylinders be r and R and their heights be h and 2h, respectively.
Since the volumes of the cylinders are equal, therefore:

    π×r2×h=π×R2×2h
r2R2=21rR2=21rR=21  r:R =2:1       

Hence, the ratio of their radii is 2:1.

Mathematics
RS Aggarwal (2015)
Standard X

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