Question

Find the volume of the largest cylinder formed when a rectangular piece of paper 44 cm by 33 cm is rolled along it : longer side. 

Answer 1

Length of a rectangular paper = 44 cm

Breadth of a rectangular paper = 33 cm

When the paper is rolled along its longer side , i.e. length, we have

Height of cylinder = h = 33 cm

Circumference of cross section = 2 π r = 44 cm

`=> 2 xx 22/7 xx "r" = 44`

`=> "r" = (44xx7)/(2xx22) = 7` cm

`therefore "Volume of cylinder" = pi"r"^2 h = 22/7 xx 7 xx 7 xx 33 = 5082 "cm"^3`