Ramesh has three containers.

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

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