Question

A rectangular piece of paper 11 cm × 4 cm is folded without overlapping to make a cylinder of height 4 cm. Find the volume of the cylinder.

Answer 1

Length of the paper becomes the perimeter of the base of the cylinder and

width becomes height.

Let radius of the cylinder = r and height = h

Perimeter of the base of the cylinder = 2πr = 11

or `2 xx 22/7 xx r = 11`

Therefore,

r = `7/4` cm

Volume of the cylinder = V = πr²h

= `22/7 xx 7/4 xx 7/4 xx 4` cm³

= 38.5 cm³

Hence the volume of the cylinder is 38.5 cm³.