Question

Ramesh has three containers.

1. Cylindrical container A having radius r and height h,
2. Cylindrical container B having radius 2r and height 1/2 h, and
3. Cuboidal container C having dimensions r × r × h

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

विकल्प

• A, B, C

• B, C, A

• C, A, B

• cannot be arranged

Answer 1

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.