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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
(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:

Volume of cylindrical container A = πr²h

Volume of cylindrical container B = π(2r)²(h/2) = 2πr²h

Volume of Cuboidal container C = r²h

The arrangement of the containers in order of increasing volumes is as follows:

Container C < Container A < Container B

Hence the correct answer is choice ( c ).

✦ Try This: Ramesh has three containers.

(a) Cylindrical container A having radius r and height h,

(b) Cylindrical container B having radius (r/2) and height 2h, and

(c) Cuboidal container C having dimensions r/2 × r/2 × 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) C, B, A

Volume of cylindrical container A = πr²h

Volume of cylindrical container B = π(r/2)²(2h) = πr²h/2

Volume of Cuboidal container C = (r/2)(r/2)h = r²h/4

The arrangement of the containers in order of increasing volumes is as follows:

Container C < Container B < Container A

Hence the correct answer is choice (d).

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 11

NCERT Exemplar Class 8 Maths Chapter 11 Problem 27

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

Summary:

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 increasing order of volumes of the given containers is C, A, B

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