Question:
Ramesh has three containers.
(a) Cylindrical container A having radius r and height h,
(b) Cylindrical container B having radius 2r and height 1/2 h, and
(c) Cuboidal container C having dimensions r × r × h
The arrangement of the containers in the increasing order of their volumes is
(a) A, B, C
(b) B, C, A
(c) C, A, B
(d) cannot be arranged
Solution:
The correct answer is option (c) C, A, B
Explanation:
(i) If the cylinder have radius r and height h, then the volume will be πr2h
(ii) If the cylinder have radius 2r and height (1/2)h, then the volume will be 2πr2h
(ii) The volume of the cuboidal container with dimensions is r2 h
Then, the arrangement of the containers in the increasing order of their volumes is C, A, B