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Question

Two right circular cylinders of equal volumes have their heights in the ratio 1 : 2. What is the ratio of their radii?


Solution

Let the radii of the two cylinders be r and R; and the heights be h and H.We have,hH=12         .....iNow,Volume of the first cylinder=Volume of the second sphereπr2h=πR2HhH=R2r212=R2r2r2R2=12rR2=21rR=21 r:R=2:1

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

Mathematics
RS Aggarwal (2018)
Standard X

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