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The diameter of a roller is 84 cm and its length is 120 cm. It takes 500 complete revolutions to move once over to level a playground.
Surface Areas and Volumes
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26/07/2021 11:46 am
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The diameter of a roller is 84 cm and its length is 120 cm. It takes 500 complete revolutions to move once over to level a playground. Find the area of the playground in m2? (Assume π = 22/7)
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26/07/2021 11:48 am
A roller is shaped like a cylinder.
Let h be the height of the roller and r be the radius.
h = Length of roller = 120 cm
Radius of the circular end of roller = r
= (84/2) cm = 42 cm
CSA of roller = 2πrh
= 2 × (22/7) × 42 × 120
= 31680 cm2
Area of field = 500 × CSA of roller
= (500 × 31680) cm2
= 15840000 cm2
= 1584 m2.
Therefore, area of playground is 1584 m2.
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