Question

.3 A hollow garden roller, 42 cm wide with a circumference of 220 cm, is made up
of
5 cm thick iron. Find volume of iron.
ns​

Answer 1

Given,

The width of the garden roller = 42 cm

The circumference of the garden roller = 220 cm

Thickness of the iron = 5 cm

To find,

The volume of the iron.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

Let, the radius of the garden roller = r cm

Circumference = 2πr cm

According to the data mentioned in the question,

2πr = 220

r = 220 × ½ × 7/22

r = 35

Volume of the hollow cylinder with hollow space = 22/7 × (35)² × 42 = 161700 cm³

Volume of the hollow space of the cylinder = 22/7 × (35-5)² × 42 = 118800 cm³

Volume of the iron = 161700-118800 = 42900 cm³

Hence, the volume of the iron is 42900 cm³.