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Question

A cylindrical roller2.5m in length, 1.75m in radius when rolled on a road was found to cover the area of 5500m2. How many revolutions did it make?


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Solution

Given,

Length of a cylindrical roller, h=2.5m

Radius of a cylindrical roller,r=1.75m

Total area rolled on a road by a cylindrical roller =5500m2

Hence,

Area covered by a cylindrical roller in one revolution = Curved surface area of a cylindrical roller

=2πrh=2x227x1.75x2.5=(44x4.375)7=(192.5)7=27.5m2

Number of revolutions rolled by a cylindrical roller

=TotalarearolledbyacylindricalrollerArearolledtocoverbyacylindricalrollerinonerevolution=550027.5=200

Therefore, the number of revolutions rolled by a cylindrical roller on a road is 200.


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