Question

Question 27

Ramesh has three containers.
a) Cylindrical container A having radius r and height h

b) Cylindrical container B having radius 2r and height $\frac{1}{2}$ h, and

c) Cuboidal container C having dimensions r x r x 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

Answer 1

a) The volume of the cylindrical container having radius r and height h
$=\pi r^{2}h$

b) The volume of the cylindrical container having radius 2r and height $\frac{1}{2}$ h =$2\pi r^{2}h$

c) The volume of the cuboidal container C having dimensions r x r x h = $r^{2}h$

Clearly, volume of cuboidal container < volume of the cylindrical container having radius r and height h < volume of the cylindrical container having radius 2r and height $\frac{1}{2}$ h.