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

1 Answer
Mar 17, 2017

#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#