A rectangular sheet of paper, `44 c m\ x\ 20 c m ,` is rolled along its length of form a cylinder. Find the volume of the cylinder so formed.

Explanation

When a rectangular sheet is rolled along its length then the length of the sheet becomes the circumferene of the base of the cylinder and breadth of the sheet becomes the height of the cylinder.

Clearly, the height of the cylinder is 20 cm
Let the radius of its base be r cm
`:.` circumference of the base of the cylinder = length of the sheet
`rArr 2pir = 44`
`rArr 2 xx (22)/(7) xx r = 44 rArr r = (44 xx (7)/(44)) = 7`
Thus, r = 7 cm and h = 20 cm
`:.` volume of the cylinder formed
`= (pi r^(2)h) cm^(3)`
`= ((22)/(7) xx 7 xx 20) cm^(3) = 3080 cm^(3)`