1
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
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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