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Question

Two circular cylinders of equal volumes have their heights in the ratio 1 : 2. Find the ratio of their radii.


Solution

Here, V1 = Volume of cylinder 1
         V2 = Volume of cylinder 2
          r1 = Radius of cylinder 1
          r2 = Radius of cylinder 2
          h1 = Height of cylinder 1
          h2 = Height of cylinder 2

Volumes of cylinder 1 and 2 are equal.
Height of cylinder 1 is half the height of cylinder 2.
V1 = V2
r12h1) = (πr22h2
r12h) = (πr222h
r12r22=21
r1r2=21

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

Mathematics
RD Sharma (2019, 2020)
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