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Question

Abhishek has three containers:

a)Cylindrical container A having radius r and height 2r

b)Cubical container B having its edge 34r

c)Cuboidal container C having dimensions r×54r×73r

The arrangement of the containers in the increasing order of their volumes is


A

A, B, C

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B

B, C, A

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C

C, A, B

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D

cannot be arranged

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Solution

The correct option is B

B, C, A


Volume of Cylinder is given by: Vcylinder=π×radius2×height

Volume of Cube is given by: Vcube=edge3

Volume of Cube is given by Vcuboid=length×breadth×height

Therefore,

Vcylinder=227×r2(2r)=447r3
Vcube=(34r)3=2764r3

Vcuboid=r×54r×73r=3512r3

Comparing the above volumes we get that Vcube < Vcuboid < Vcylinder


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