Question

A rectangular sheet of paper is rolled in two different ways to form a cylinder find the volume in each case if the sheet measures 44×33 cm ​

Answer 1

Answer:

Length of paper = 44 cm

Breadth of paper = 33 cm

When rolled along length:

Circumference of base = length of paper

= 2πr = 44cm

so, r = 44/2π

= (44/2*7/22) cm

= 7cm

height = 33cm

so, volume = πr^2h

= 22/7*7cm *7cm * 33cm

= 5082 cu. cm

When rolled along breadth:

Circumference of base = Breadth of paper

= 2πr = 33cm

so, r = 33/2π

= 33/2*7/22

= 21/4 cm

height = 44 cm

so, volume = πr^2h

= 22/7 * 21/4cm * 21/4 cm * 44cm

= 3811.5 cu. cm