Question

A rectangular paper of length l and breadth h is wrapped around a cylindrical can of radius r and height h.

S1 : The length of rectangular sheet required equals circumference of circle

S2 : The area of rectangular sheet required = 2πrh

• A. S1 and S2 are false
• B. S1 is true and S2 is false
• C. S1 is false but S2 is true
• D. S1 and S2 are true

Answer 1

The correct option is D

S1 and S2 are true

Upon wrapping a cylinder, the curved surface is a circle. Since the length of the rectangular sheet is the dimension being wrapped, the length of the cylinder equals the circumference of the circle. Therefore area of rectangular sheet required equals l × b = 2πrh