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Question
A hollow garden roller, 63 cm wide with a girth of 440 cm, is made of 4 cm thick iron. Find the volume of the iron.
Solution
Given data is as follows:
h = 63 cm
Girth is nothing but the outer circumference of the roller, which is 440 cm.
Thickness of the roller = 4 cm
We have to find the volume of the roller.
We have been given the outer circumference of the roller. Let R be the external radius.
We have,
2πR= 440
`2xx22/7xxR=440`
R=70
Also, thickness of the cylinder is given which is 4 cm. So we can easily find out the inner radius ‘r’.
r = R - 4
= 70-4
= 66 cm
Now, since we know both inner and outer radii, we can easily find out the volume of the hollow cylinder.
Volume = `pi(R^2 - r^2)h`
`=22/7 xx (70^2 - 66^2 ) xx 63`
`= 22/7 xx 4 xx 136 xx 63 `
Volume = 107712 cm3
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