The height of a cylinder is 14 cm and its curved surface area is 264 cm2. The volume of the cylinder is
Given: The height of a cylinder is 14 cm.
Its curved surface area is 264 cm2.
Curved surface area of a Cylinder is : 2πrh (here r and h are radius and height respectively)
∴ 2πrh = 264
⇒ 2 × π × r × 14 = 264
⇒r = = 3cm
∴ r = 3cm
Volume of a Cylinder is: πr2h
Let V be the volume of the Cylinder
∴ V = πr2h
⇒ V = π × 32 × 14 = 396cm3
∴ Volume of the Cylinder is 396cm3