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A road roller takes 750 complete revolutions to move once over to level a road.Find the area of the road if the diameter of a road . Find the area of the road if the diameter of a road roller is 84 cm and length is 1 m.?
Most Upvoted Answer
A road roller takes 750 complete revolutions to move once over to leve...
Given d=84cm,l=1m=100cm
Curved surface area =2πrl=2×722×42(100)=26400cm2
Area covered in 1 revolution of road roller =26400cm2
Area covered by 750 revolution =26400(750)=19800000cm2=1980m2
Curved surface area =2πrl=2×722×42(100)=26400cm2
Area covered in 1 revolution of road roller =26400cm2
Area covered by 750 revolution =26400(750)=19800000cm2=1980m2
Community Answer
A road roller takes 750 complete revolutions to move once over to leve...
Introduction
To determine the area of the road leveled by the road roller, we need to calculate the surface area covered by the roller in one complete revolution and then multiply it by the number of revolutions.
Step 1: Calculate the Radius of the Roller
- The diameter of the road roller is 84 cm.
- The radius (r) = Diameter / 2 = 84 cm / 2 = 42 cm.
Step 2: Calculate the Circumference of the Roller
- The circumference (C) of the roller can be calculated using the formula:
- C = 2 * π * r = 2 * π * 42 cm.
Step 3: Calculate the Area Covered in One Revolution
- The area covered in one revolution is equal to the circumference multiplied by the length of the roller.
- Length of the roller = 1 m = 100 cm.
- Area covered in one revolution = C * Length = (2 * π * 42 cm) * 100 cm.
Step 4: Total Area Covered After 750 Revolutions
- Total Area = Area covered in one revolution * Number of Revolutions.
- Total Area = (2 * π * 42 cm * 100 cm) * 750.
Final Calculation
- Plugging in the values, we can compute the total area leveled by the road roller in square centimeters.
Conclusion
The total area that the road roller covers after 750 revolutions gives us the area of the road that is leveled. This calculation helps in understanding the efficiency of the road roller in road construction and maintenance tasks.
For precise numerical results, use 3.14 for π and complete the arithmetic.
To determine the area of the road leveled by the road roller, we need to calculate the surface area covered by the roller in one complete revolution and then multiply it by the number of revolutions.
Step 1: Calculate the Radius of the Roller
- The diameter of the road roller is 84 cm.
- The radius (r) = Diameter / 2 = 84 cm / 2 = 42 cm.
Step 2: Calculate the Circumference of the Roller
- The circumference (C) of the roller can be calculated using the formula:
- C = 2 * π * r = 2 * π * 42 cm.
Step 3: Calculate the Area Covered in One Revolution
- The area covered in one revolution is equal to the circumference multiplied by the length of the roller.
- Length of the roller = 1 m = 100 cm.
- Area covered in one revolution = C * Length = (2 * π * 42 cm) * 100 cm.
Step 4: Total Area Covered After 750 Revolutions
- Total Area = Area covered in one revolution * Number of Revolutions.
- Total Area = (2 * π * 42 cm * 100 cm) * 750.
Final Calculation
- Plugging in the values, we can compute the total area leveled by the road roller in square centimeters.
Conclusion
The total area that the road roller covers after 750 revolutions gives us the area of the road that is leveled. This calculation helps in understanding the efficiency of the road roller in road construction and maintenance tasks.
For precise numerical results, use 3.14 for π and complete the arithmetic.
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A road roller takes 750 complete revolutions to move once over to level a road.Find the area of the road if the diameter of a road . Find the area of the road if the diameter of a road roller is 84 cm and length is 1 m.?
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A road roller takes 750 complete revolutions to move once over to level a road.Find the area of the road if the diameter of a road . Find the area of the road if the diameter of a road roller is 84 cm and length is 1 m.? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A road roller takes 750 complete revolutions to move once over to level a road.Find the area of the road if the diameter of a road . Find the area of the road if the diameter of a road roller is 84 cm and length is 1 m.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A road roller takes 750 complete revolutions to move once over to level a road.Find the area of the road if the diameter of a road . Find the area of the road if the diameter of a road roller is 84 cm and length is 1 m.?.
A road roller takes 750 complete revolutions to move once over to level a road.Find the area of the road if the diameter of a road . Find the area of the road if the diameter of a road roller is 84 cm and length is 1 m.? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A road roller takes 750 complete revolutions to move once over to level a road.Find the area of the road if the diameter of a road . Find the area of the road if the diameter of a road roller is 84 cm and length is 1 m.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A road roller takes 750 complete revolutions to move once over to level a road.Find the area of the road if the diameter of a road . Find the area of the road if the diameter of a road roller is 84 cm and length is 1 m.?.
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