The curved surface area of a cylinder is and its diameter is 20 cm. Find its height and volume.
Given,
Curved surface area of cylinder = 1210 cm2
Diameter of cylinder = 20 cm
Radius of cylinder = = 10 cm
Let height of cylinder = h cm
Curved surface area = 2πrh
= 2πrh = 1210
= 2 × × 10 × h = 1210
= h = 19.25 cm
∴ Volume of cylinder = πr2h = × 10 × 10 × 19.25 = 6050 cm3