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_BVC<VA<VB

Explanation:

The volume V_AVA of cylindrical container AA with radius rr and height bb is

V_A=pixxr^2xxb=pir^2b=3.1416r^2bVA=π×r2×b=πr2b=3.1416r2b

The volume V_BVB of cylindrical container BB with radius 2r2r and height 1/2b12b is

V_B=pixx(2r)^2xxb/2=pixx4r^2xxb/2=2pir^2b=6.2832r^2bVB=π×(2r)2×b2=π×4r2×b2=2πr2b=6.2832r2b

The volume V_CVC of cuboidal container CC, having dimensions r*r*brrb is

V_C=rxxrxxb=r^2bVC=r×r×b=r2b

It is apparent that V_C < V_A < V_BVC<VA<VB