The total surface area of a cylinder is 462 cm2 and its curved surface area is one-third of its total surface area. Find the volume of the cylinder.
Total surface area of a cylinder = 
Curved surface area of a cylinder = 
⇒ 3h=r+h ⇒ 2h=r
Given that total surface area = 462 cm 2
⇒ 
⇒ r2 = 7× 7
So, r = 7 cm , h =3.5cm
Volume of a cylinder = 
8