Question

The lateral surface area of a cylinder is 94.2 cm² and its height is 5cm. Find

(i) the radius of its base and

(ii) its volume. (Take π = 3.14)

Answer 1

It is given that

Lateral surface area of a cylinder = 94.2 cm²

Height = 5cm

(i) We know that

Lateral surface area of cylinder = 2 πrh

By substituting the values

94.2 = 2 × 3.14 × r × 5

On further calculation

r = 94.2/ (2 × 3.14 × 5)

So we get

r = 3cm

(ii) We know that

Volume of a cylinder = πr²h

By substituting the values

Volume of a cylinder = (3.14) × (3)² × 5

So we get

Volume of a cylinder = 141.3 cm³