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Question
The ratio of radii of two cylinders is
$1:2$
and heights are in the ratio
$2:3.$
The ratio of their volumes is
Medium
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Solution
Verified by Toppr
Let
$V_{1}$
be the volume of 1st cylinder and
$V_{2}$
be the volume of 2nd cylinder
$V_{1}=Οr_{1}h_{1}$
$V_{2}=Οr_{2}h_{2}$
$βV_{2}V_{1}β=(r_{2}r_{1}β)_{2}h_{2}h_{1}β$
$=(21β)_{2}Γ32β$
$=41βΓ32β$
$=61β$
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