Ramesh has the following three containers - cylindrical container a,having radius r and height b - cylindrical container b,having radius 2r and height 1/2b - cuboidal container c,having dimensions rrb increasing order of V is? The arrangement of

Question

The arrangement of the increasing order of their volumes is what

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Answer 1 · 2017-03-17T05:47:49

$V_C < V_A < V_B$

The volume $V_A$ of cylindrical container $A$ with radius $r$ and height $b$ is

$V_A=pixxr^2xxb=pir^2b=3.1416r^2b$

The volume $V_B$ of cylindrical container $B$ with radius $2r$ and height $1/2b$ is

$V_B=pixx(2r)^2xxb/2=pixx4r^2xxb/2=2pir^2b=6.2832r^2b$

The volume $V_C$ of cuboidal container $C$ , having dimensions $r*r*b$ is

$V_C=rxxrxxb=r^2b$

It is apparent that $V_C < V_A < V_B$