The area of the curved surface of a cylinder is 4400sq.cm and the circumference of its base is 110cm.Find the volume of the cylinder.
curved surface of a cylinder =4400sq.cm
⇒2πrh=4400 .....(1)
circumference of its base =110cm
⇒2πr=110 .....(2)
⇒r=1102π=55π
From (1)⇒2πrh=2π×55πh=4400
⇒h=4400110=40cm
Volume of cylinder=πr2h
=π×55π×55π×40
=55×55×40×722
=84700022=38500cm3