Question

The volume and the curved surface area of cylinder are 1650 cm³ and 660 cm² respectively. Find the radius and height of the cylinder.

Answer 1

We have,

Volume of cylinder = 1650 cm³

Curved surface area = 660 cm²

Volume of cylinder/curved surface area = 1650/660

πr²h/ 2πrh = 1650/660

r/ 2 = 5/2

r = 5cm

Surface area = 660 cm²

2πrh = 660

2 × 22/7 × 5 × h = 660

h = 660×7 / 2×22×5

= 4620/220

= 21cm

∴ Radius = 5cm and height = 21cm