Question

A solid cylinder has the total surface area of 462 cm^2.if the toal surface of the cylinder is thriceof its curved surface area.then the volume of the cylinder is

Answer 1

Curved surface area = total surface area / 3.  Curved surface area = 462/3 = 154.  Rest of area = 462 - 154 = 308.  2πr^2 = 308.  r^2 = 308 x 7 / 44 = 49.  r = 7.  2πrh = 154.  h = 154 / 2 x 22 = 7/2.  Volume = πr^2 h = (22/7) x (7^2) x (7/2) = 539.  Volume = 539 cm^3