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A rectangular paper is 44 cm long and 20 cm wide. A cylinder is formed by rolling the paper along its length. The volume of the cylinder will be
- a)3000 cm3
- b)3800 cm3
- c)3050 cm3
- d)3080 cm3
Correct answer is option 'D'. Can you explain this answer?
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A rectangular paper is 44 cm long and 20 cm wide. A cylinder is formed...
**Given information:**
- Length of the rectangular paper = 44 cm
- Width of the rectangular paper = 20 cm
**To find:**
- Volume of the cylinder formed by rolling the paper along its length.
**Solution:**
1. The length of the rectangular paper will be the circumference of the cylinder.
2. The width of the rectangular paper will be the height of the cylinder.
3. The formula to calculate the volume of a cylinder is given by V = πr²h, where V is the volume, r is the radius, and h is the height of the cylinder.
4. To find the radius of the cylinder, we need to find the circumference of the cylinder and divide it by 2π.
5. The formula to calculate the circumference of a cylinder is given by C = 2πr, where C is the circumference and r is the radius.
6. Since the circumference of the cylinder is equal to the length of the rectangular paper, we can write C = 2πr = 44 cm.
7. Dividing both sides of the equation by 2π, we get r = 44 / (2π) = 7 cm.
8. The height of the cylinder is equal to the width of the rectangular paper, which is 20 cm.
9. Now we can substitute the values of r and h into the formula V = πr²h to find the volume of the cylinder.
V = π(7)²(20) = π(49)(20) = 3080π cm³.
10. To find the volume in cm³, we need to approximate the value of π to 3.14.
V = 3080(3.14) = 9671.2 cm³ (approx)
11. Therefore, the volume of the cylinder formed by rolling the paper along its length is approximately 9671.2 cm³, which is closest to 3080 cm³ (option D).
- Length of the rectangular paper = 44 cm
- Width of the rectangular paper = 20 cm
**To find:**
- Volume of the cylinder formed by rolling the paper along its length.
**Solution:**
1. The length of the rectangular paper will be the circumference of the cylinder.
2. The width of the rectangular paper will be the height of the cylinder.
3. The formula to calculate the volume of a cylinder is given by V = πr²h, where V is the volume, r is the radius, and h is the height of the cylinder.
4. To find the radius of the cylinder, we need to find the circumference of the cylinder and divide it by 2π.
5. The formula to calculate the circumference of a cylinder is given by C = 2πr, where C is the circumference and r is the radius.
6. Since the circumference of the cylinder is equal to the length of the rectangular paper, we can write C = 2πr = 44 cm.
7. Dividing both sides of the equation by 2π, we get r = 44 / (2π) = 7 cm.
8. The height of the cylinder is equal to the width of the rectangular paper, which is 20 cm.
9. Now we can substitute the values of r and h into the formula V = πr²h to find the volume of the cylinder.
V = π(7)²(20) = π(49)(20) = 3080π cm³.
10. To find the volume in cm³, we need to approximate the value of π to 3.14.
V = 3080(3.14) = 9671.2 cm³ (approx)
11. Therefore, the volume of the cylinder formed by rolling the paper along its length is approximately 9671.2 cm³, which is closest to 3080 cm³ (option D).
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A rectangular paper is 44 cm long and 20 cm wide. A cylinder is formed by rolling the paper along its length. The volume of the cylinder will bea)3000 cm3b)3800 cm3c)3050 cm3d)3080 cm3Correct answer is option 'D'. Can you explain this answer?
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A rectangular paper is 44 cm long and 20 cm wide. A cylinder is formed by rolling the paper along its length. The volume of the cylinder will bea)3000 cm3b)3800 cm3c)3050 cm3d)3080 cm3Correct answer is option 'D'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A rectangular paper is 44 cm long and 20 cm wide. A cylinder is formed by rolling the paper along its length. The volume of the cylinder will bea)3000 cm3b)3800 cm3c)3050 cm3d)3080 cm3Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rectangular paper is 44 cm long and 20 cm wide. A cylinder is formed by rolling the paper along its length. The volume of the cylinder will bea)3000 cm3b)3800 cm3c)3050 cm3d)3080 cm3Correct answer is option 'D'. Can you explain this answer?.
A rectangular paper is 44 cm long and 20 cm wide. A cylinder is formed by rolling the paper along its length. The volume of the cylinder will bea)3000 cm3b)3800 cm3c)3050 cm3d)3080 cm3Correct answer is option 'D'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A rectangular paper is 44 cm long and 20 cm wide. A cylinder is formed by rolling the paper along its length. The volume of the cylinder will bea)3000 cm3b)3800 cm3c)3050 cm3d)3080 cm3Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rectangular paper is 44 cm long and 20 cm wide. A cylinder is formed by rolling the paper along its length. The volume of the cylinder will bea)3000 cm3b)3800 cm3c)3050 cm3d)3080 cm3Correct answer is option 'D'. Can you explain this answer?.
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A rectangular paper is 44 cm long and 20 cm wide. A cylinder is formed by rolling the paper along its length. The volume of the cylinder will bea)3000 cm3b)3800 cm3c)3050 cm3d)3080 cm3Correct answer is option 'D'. Can you explain this answer?, a detailed solution for A rectangular paper is 44 cm long and 20 cm wide. A cylinder is formed by rolling the paper along its length. The volume of the cylinder will bea)3000 cm3b)3800 cm3c)3050 cm3d)3080 cm3Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of A rectangular paper is 44 cm long and 20 cm wide. A cylinder is formed by rolling the paper along its length. The volume of the cylinder will bea)3000 cm3b)3800 cm3c)3050 cm3d)3080 cm3Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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