Maharashtra State BoardSSC (English Medium) 9th Standard
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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 ? - Geometry

Sum

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 ?

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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 x `22/7` x 0.45 x 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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APPEARS IN

Balbharati Mathematics 2 Geometry 9th Standard Maharashtra State Board
Chapter 9 Surface Area and Volume
Problem Set 9 | Q 1 | Page 123
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