Question

# The ratios of the heights and the radii of the cylinders are 1:2 and 2:1 respectively. Find out the ratio of their volumes.

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Solution

## Let R and H are radius and height of 1st cylinder respectively . and r , h are radius , height of 2nd cylinder respectively . volume of 1st cylinder /volume of 2nd cylinder = pi.R^2 H/pi.r^2.h given , R/r = (2/1) H/h = (1/2) = R^2H/r^2h = (R/r)^2 (H/h) =(2/1)^2 (1/2) =2 v1:v2=2:1

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