Class 9 Exam > Class 9 Questions > The diameter of a roller 1m long is 84 cm. If...
Start Learning for Free
The diameter of a roller 1m long is 84 cm. If it takes 200 complete revolutions to level ground, what is the area of the ground?
- a)1320 m2
- b)628 m2
- c)528 m2
- d)264 m2
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The diameter of a roller 1m long is 84 cm. If it takes 200 complete re...
Radius of roller = 84/2 = 42cm
h = 100cm
Area covered by the roller in 200
Revolutions = 200 × 2πrh
= 4 × 22 × 6
= 88 × 6 = 528 m2
h = 100cm
Area covered by the roller in 200
Revolutions = 200 × 2πrh
= 4 × 22 × 6
= 88 × 6 = 528 m2
Free Test
FREE
| Start Free Test |
Community Answer
The diameter of a roller 1m long is 84 cm. If it takes 200 complete re...
Given Data
- Length of the roller: 1 m (100 cm)
- Diameter of the roller: 84 cm
- Number of revolutions: 200
Step 1: Calculate the Radius
- Radius = Diameter / 2
- Radius = 84 cm / 2 = 42 cm
Step 2: Calculate the Circumference of the Roller
- Circumference = 2 * π * Radius
- Circumference = 2 * 3.14 * 42 cm
- Circumference ≈ 263.76 cm
Step 3: Convert Circumference to Meters
- Circumference in meters = 263.76 cm / 100 = 2.6376 m
Step 4: Calculate the Area Covered in One Revolution
- Area covered in one revolution = Circumference * Length of the roller
- Area = 2.6376 m * 1 m = 2.6376 m²
Step 5: Calculate the Total Area for 200 Revolutions
- Total Area = Area per revolution * Number of revolutions
- Total Area = 2.6376 m² * 200
- Total Area = 527.52 m²
Final Calculation and Result
- Rounding 527.52 m² gives approximately 528 m².
- Therefore, the area of the ground leveled by the roller after 200 revolutions is 528 m².
Correct Option
- The correct answer is option 'C': 528 m².
- Length of the roller: 1 m (100 cm)
- Diameter of the roller: 84 cm
- Number of revolutions: 200
Step 1: Calculate the Radius
- Radius = Diameter / 2
- Radius = 84 cm / 2 = 42 cm
Step 2: Calculate the Circumference of the Roller
- Circumference = 2 * π * Radius
- Circumference = 2 * 3.14 * 42 cm
- Circumference ≈ 263.76 cm
Step 3: Convert Circumference to Meters
- Circumference in meters = 263.76 cm / 100 = 2.6376 m
Step 4: Calculate the Area Covered in One Revolution
- Area covered in one revolution = Circumference * Length of the roller
- Area = 2.6376 m * 1 m = 2.6376 m²
Step 5: Calculate the Total Area for 200 Revolutions
- Total Area = Area per revolution * Number of revolutions
- Total Area = 2.6376 m² * 200
- Total Area = 527.52 m²
Final Calculation and Result
- Rounding 527.52 m² gives approximately 528 m².
- Therefore, the area of the ground leveled by the roller after 200 revolutions is 528 m².
Correct Option
- The correct answer is option 'C': 528 m².
|
Explore Courses for Class 9 exam
|
|
Similar Class 9 Doubts
Top Courses for Class 9View all
Question Description
The diameter of a roller 1m long is 84 cm. If it takes 200 complete revolutions to level ground, what is the area of the ground?a)1320 m2b)628 m2c)528 m2d)264 m2Correct answer is option 'C'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The diameter of a roller 1m long is 84 cm. If it takes 200 complete revolutions to level ground, what is the area of the ground?a)1320 m2b)628 m2c)528 m2d)264 m2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The diameter of a roller 1m long is 84 cm. If it takes 200 complete revolutions to level ground, what is the area of the ground?a)1320 m2b)628 m2c)528 m2d)264 m2Correct answer is option 'C'. Can you explain this answer?.
The diameter of a roller 1m long is 84 cm. If it takes 200 complete revolutions to level ground, what is the area of the ground?a)1320 m2b)628 m2c)528 m2d)264 m2Correct answer is option 'C'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The diameter of a roller 1m long is 84 cm. If it takes 200 complete revolutions to level ground, what is the area of the ground?a)1320 m2b)628 m2c)528 m2d)264 m2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The diameter of a roller 1m long is 84 cm. If it takes 200 complete revolutions to level ground, what is the area of the ground?a)1320 m2b)628 m2c)528 m2d)264 m2Correct answer is option 'C'. Can you explain this answer?.
Solutions for The diameter of a roller 1m long is 84 cm. If it takes 200 complete revolutions to level ground, what is the area of the ground?a)1320 m2b)628 m2c)528 m2d)264 m2Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 9.
Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of The diameter of a roller 1m long is 84 cm. If it takes 200 complete revolutions to level ground, what is the area of the ground?a)1320 m2b)628 m2c)528 m2d)264 m2Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The diameter of a roller 1m long is 84 cm. If it takes 200 complete revolutions to level ground, what is the area of the ground?a)1320 m2b)628 m2c)528 m2d)264 m2Correct answer is option 'C'. Can you explain this answer?, a detailed solution for The diameter of a roller 1m long is 84 cm. If it takes 200 complete revolutions to level ground, what is the area of the ground?a)1320 m2b)628 m2c)528 m2d)264 m2Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of The diameter of a roller 1m long is 84 cm. If it takes 200 complete revolutions to level ground, what is the area of the ground?a)1320 m2b)628 m2c)528 m2d)264 m2Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The diameter of a roller 1m long is 84 cm. If it takes 200 complete revolutions to level ground, what is the area of the ground?a)1320 m2b)628 m2c)528 m2d)264 m2Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Class 9 tests.
|
|
Explore Courses for Class 9 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup