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Find the area covered by a road roller of width 80 cm and diameter 140 CM in 40 revolution?
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Find the area covered by a road roller of width 80 cm and diameter 140...
Understanding the Problem
To find the area covered by the road roller after 40 revolutions, we need to consider the dimensions of the roller and how it moves.
Dimensions of the Road Roller
- Width: 80 cm
- Diameter: 140 cm
From the diameter, we can find the radius:
- Radius: Diameter / 2 = 140 cm / 2 = 70 cm
Calculating the Circumference
The circumference will help us determine how far the roller travels in one revolution.
- Circumference: 2 × π × Radius
- Circumference: 2 × 3.14 × 70 cm ≈ 439.6 cm
Area Covered in One Revolution
The area covered in one revolution can be calculated by multiplying the circumference by the width of the roller.
- Area in One Revolution: Circumference × Width
- Area in One Revolution: 439.6 cm × 80 cm = 35168 cm²
Total Area Covered in 40 Revolutions
To find the total area covered after 40 revolutions, multiply the area of one revolution by 40.
- Total Area: Area in One Revolution × 40
- Total Area: 35168 cm² × 40 = 1406720 cm²
Final Result
The area covered by the road roller after 40 revolutions is 1,406,720 cm². This calculation helps understand the extent of area that can be compacted or covered by the roller effectively.
To find the area covered by the road roller after 40 revolutions, we need to consider the dimensions of the roller and how it moves.
Dimensions of the Road Roller
- Width: 80 cm
- Diameter: 140 cm
From the diameter, we can find the radius:
- Radius: Diameter / 2 = 140 cm / 2 = 70 cm
Calculating the Circumference
The circumference will help us determine how far the roller travels in one revolution.
- Circumference: 2 × π × Radius
- Circumference: 2 × 3.14 × 70 cm ≈ 439.6 cm
Area Covered in One Revolution
The area covered in one revolution can be calculated by multiplying the circumference by the width of the roller.
- Area in One Revolution: Circumference × Width
- Area in One Revolution: 439.6 cm × 80 cm = 35168 cm²
Total Area Covered in 40 Revolutions
To find the total area covered after 40 revolutions, multiply the area of one revolution by 40.
- Total Area: Area in One Revolution × 40
- Total Area: 35168 cm² × 40 = 1406720 cm²
Final Result
The area covered by the road roller after 40 revolutions is 1,406,720 cm². This calculation helps understand the extent of area that can be compacted or covered by the roller effectively.
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Find the area covered by a road roller of width 80 cm and diameter 140 CM in 40 revolution?
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Find the area covered by a road roller of width 80 cm and diameter 140 CM in 40 revolution? 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 Find the area covered by a road roller of width 80 cm and diameter 140 CM in 40 revolution? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the area covered by a road roller of width 80 cm and diameter 140 CM in 40 revolution?.
Find the area covered by a road roller of width 80 cm and diameter 140 CM in 40 revolution? 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 Find the area covered by a road roller of width 80 cm and diameter 140 CM in 40 revolution? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the area covered by a road roller of width 80 cm and diameter 140 CM in 40 revolution?.
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