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Question
If diameter of a road roller is 0.9 m and its length is 1.4 m, how much area of a field will be pressed in its 500 rotations? `(π = 22/7)`
Solution
Length of the road roller, h = 1.4 m
Radius of the road roller, r = `0.9/2` = 0.45 m
Now,
Area of the field pressed in one rotation = Curved surface area of the road roller
= 2πrh
= `2 xx 22/7 xx 0.45 xx 1.4`
= 3.96 m2
∴ Area of the field pressed in 500 rotations = 500 × Area of the field pressed in one rotation
= 500 × 3.96
= 1980 m2
Thus, the area of the field pressed in 500 rotations is 1980 m2.
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