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Q.

A road roller takes 750 complete revolutions to move once over to level a road. Find the area of the road if the diameter of a road roller is 84 cm and length is 1 m.


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a

1980 cm2

b

1980 m2

c

198000 cm2

d

19800 m2 

answer is B.

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Detailed Solution

It is given that the diameter of the road roller ‘d’ is 84 cm and length of road roller ‘h’ is 1 m.
Diameter of road roller (d) = 84 cm
Radius of road roller(r) is;
⇒ d 2 = 84 2 ⇒ d 2 =42cm  
Length of road roller (h) = 1m = 100cm
The curved surface area is calculated to find out area covered by roller in one revolution is;
Curved surface area of a cylinder is;
⇒2πrh ⇒2× 22 7 ×42×100 ⇒26400 cm 2  
Finding the area covered by road roller in 750 revolutions using curved surface area of road roller.
Area covered by road roller in 750 revolutions is;
⇒ 26400 ×750 ⇒19800000c m 2  
We know, 1m = 100cm
⇒19800000c m 2 = 19800000 100×100 m 2 ⇒19800000c m 2 =1980 m 2  
Hence option (2) is correct.
 
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