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Question
Ramesh has three containers.
- Cylindrical container A having radius r and height h,
- Cylindrical container B having radius 2r and height 1/2 h, and
- Cuboidal container C having dimensions r × r × h
The arrangement of the containers in the increasing order of their volumes is
Options
A, B, C
B, C, A
C, A, B
cannot be arranged
Solution
C, A, B
Explanation:
(i) The volume of the cylindrical container having radius r and height h = πr2h
(ii) The volume of the cylindrical container with radius 2r and height `1/2`
= `pi(2r)^2 xx 1/2 h`
= `pi xx 4r^2 xx 1/2 h`
= 2πr2h
(iii) The volume of the cuboidal container having dimensions r × r × h = r2h
From parts (i), (ii) and (iii), we have the following order C, A, B.
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