Question

A solid cylinder has a total surface area 462sq cm. Its curved surface area is one third of the total surface area. Find the volume of the cylinder.

Answer 1

Answer:

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