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
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