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The diameter of a roller is 91 cm and its length 100 cm. It takes 400 complete revolution to move once over to level a playground. Find the area of the playground in square metre.

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The diameter of a roller is 91 cm and its length 100 cm. It takes 400 complete revolution to move once over to level a playground. Find the area of the playground in square metre.
1). 1032 m2
2). 1144 m2
3). 1232 m2
4). 1384 m2


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1 answers

3 vote
Answered by on | Votes 3 |

Area of the playground covered = Lateral surface area of roller × number of revolutions

Lateral surface area of a roller = 2πrh

Given, diameter of a roller is 91 cm and its length 100 cm.

∴ Radius = 91/2 = 45.5 cm

Lateral surface area of the roller = 2 × (22/7) × 45.5 × 100 = 28600 cm2

⇒ Lateral surface area of the roller = 2.86 m2

Area of the playground covered = 2.86 × 400 = 1144 m2

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