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The diameter of Road Roller is 84 cm and its length is 150 cm. It takes 600 revolutions to level once on a particular road. Then what is the area of that road in m²?
  • a)
    2376
  • b)
    2476
  • c)
    2496
  • d)
    2516
  • e)
    None
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The diameter of Road Roller is 84 cm and its length is 150 cm. It take...
To find the area of the road, we need to find the distance covered by the road roller in one revolution and then multiply it by the total number of revolutions.

The distance covered in one revolution can be calculated using the formula:

Distance = π * diameter

Given that the diameter of the road roller is 84 cm, we can substitute this value into the formula:

Distance = π * 84 cm

Since we need the area in meters, we need to convert the distance from cm to meters by dividing by 100:

Distance = (π * 84 cm) / 100

Now we can calculate the distance covered in one revolution. Using the approximation π ≈ 3.14:

Distance = (3.14 * 84 cm) / 100
= 263.76 cm

Finally, we can calculate the area of the road by multiplying the distance covered in one revolution by the total number of revolutions:

Area = 263.76 cm * 600 revolutions
= 158,256 cm²

Since we need the area in square meters, we need to convert the area from cm² to m² by dividing by 10,000:

Area = 158,256 cm² / 10,000
= 15.8256 m²

Therefore, the area of the road is approximately 15.8256 square meters.
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Community Answer
The diameter of Road Roller is 84 cm and its length is 150 cm. It take...
600*2*22/7*42/100*150/100=2376
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