Question

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 r*r*b increasing order of V is? The arrangement of

The arrangement of the increasing order of their volumes is what

Answer 1

`V_C < V_A < V_B`

Explanation:

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`