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Question

The diameter of a roller is 84cm and its length is 120cm. It takes 500 complete revolutions to move once over to level a playground. Find the area of the playground in metre square.


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Solution

Step 1. Diameter of roller =84cm

Therefore radius (r)=842=42cm

Length of the roller (h)=120cm

Step 2.Finding CSA of roller.

CSA of roller =CSA of cylinder

=2πrh=2x227x42x120=44x6x120=44x720=31680cm2

That means area covered by roller in one revolution =31680cm2

Therefore area covered by roller in 500 revolution=500x3168010000[1cm2=110000m2]

=1584m2

Hence, the area of the playground is 1584m2.


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