Question

The lateral surface area of a hollow cylinder is 4224 cm2. It is cut along its height and formed a rectangular sheet of width 33 cm. Find the perimeter of rectangular sheet.

Answer 1

A hollow cylinder is cut along its height to form a rectangular sheet.
Area of cylinder = Area of rectangular sheet
4224 cm2 = 33 cm × Length
Length =$\frac{4224\ cm^2}{33\ cm}$
=128 cm
Thus, the length of the rectangular sheet is 128 cm.
Perimeter of the rectangular sheet = 2 (Length + Width)
= [2 (128 + 33)] cm
= (2 $×$ 161) cm
= 322 cm