A road roller takes 340 complete revolutions to move once over to level a road. Find
the area of the road if the diameter of the road roller is 182 cm and length is 1.5 m
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The area of the road is 2917.20 m²
Step-by-step explanation:
Diameter of the roller = 182cm
We know that diameter = 2 * Radius
Therefore, radius of the roller = 182/2 = 91 cm
Length of the roller = 1.5 m = 150 cm
We know that for a cylinder,
Curved Surface Area = 2πrh
= 2 * * 91 * 150
= 85800 cm²
We know that,
Area covered = No. of revolutions * Area in 1 revolution
= 340 * 85800 cm²
= 29172000 cm²
= 2917.2 m²
Therefore, the area of the road is 2917.20 m²
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