Class 9 Exam > Class 9 Questions > The thickness of a hollow wooden cylinder is ...
Start Learning for Free
The thickness of a hollow wooden cylinder is 2cm. It is 35cm long and its inner radius is 12cm. What is the volume of the wood required to make the cylinder if it is open at either end?
- a)5120 cm3
- b)5720 cm3
- c)5820 cm3
- d)5620 cm3
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
The thickness of a hollow wooden cylinder is 2cm. It is 35cm long and ...
Given:
Inner radius (r) = 12 cm
Length (l) = 35 cm
Thickness (t) = 2 cm
To find:
Volume of wood required to make the cylinder open at either end
Solution:
1. Calculate the outer radius of the cylinder:
The outer radius of the cylinder can be calculated by adding the thickness to the inner radius.
Outer radius (R) = Inner radius + Thickness
R = 12 cm + 2 cm
R = 14 cm
2. Calculate the volume of the cylinder:
The volume of the cylinder can be calculated using the formula:
Volume of cylinder = πr2h
Where r is the radius and h is the height or length of the cylinder.
Volume of cylinder = π(R2 - r2)h
Volume of cylinder = π(142 - 122)35
Volume of cylinder = π(196 - 144)35
Volume of cylinder = π(52)35
Volume of cylinder = 5460π
3. Calculate the volume of the wood:
The volume of the wood can be calculated by subtracting the volume of the hollow part of the cylinder from the volume of the cylinder.
Volume of wood = Volume of cylinder - Volume of hollow part
Volume of wood = 5460π - πr2h
Volume of wood = 5460π - π12235
Volume of wood = 5460π - 52920
Volume of wood ≈ 5720 cm3
Therefore, the volume of wood required to make the cylinder is approximately 5720 cm3.
Hence, the correct option is (b) 5720 cm3.
Inner radius (r) = 12 cm
Length (l) = 35 cm
Thickness (t) = 2 cm
To find:
Volume of wood required to make the cylinder open at either end
Solution:
1. Calculate the outer radius of the cylinder:
The outer radius of the cylinder can be calculated by adding the thickness to the inner radius.
Outer radius (R) = Inner radius + Thickness
R = 12 cm + 2 cm
R = 14 cm
2. Calculate the volume of the cylinder:
The volume of the cylinder can be calculated using the formula:
Volume of cylinder = πr2h
Where r is the radius and h is the height or length of the cylinder.
Volume of cylinder = π(R2 - r2)h
Volume of cylinder = π(142 - 122)35
Volume of cylinder = π(196 - 144)35
Volume of cylinder = π(52)35
Volume of cylinder = 5460π
3. Calculate the volume of the wood:
The volume of the wood can be calculated by subtracting the volume of the hollow part of the cylinder from the volume of the cylinder.
Volume of wood = Volume of cylinder - Volume of hollow part
Volume of wood = 5460π - πr2h
Volume of wood = 5460π - π12235
Volume of wood = 5460π - 52920
Volume of wood ≈ 5720 cm3
Therefore, the volume of wood required to make the cylinder is approximately 5720 cm3.
Hence, the correct option is (b) 5720 cm3.
Free Test
FREE
| Start Free Test |
Community Answer
The thickness of a hollow wooden cylinder is 2cm. It is 35cm long and ...
Let r be the inner radius of the cylinder.
r = 12cm
Outer radius = R = 12 + 2 = 14cm
h = 35cm
Volume of wood = π (R2 – r2) h
r = 12cm
Outer radius = R = 12 + 2 = 14cm
h = 35cm
Volume of wood = π (R2 – r2) h
Attention Class 9 Students!
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.
|
Explore Courses for Class 9 exam
|
|
Similar Class 9 Doubts
Top Courses for Class 9View all
The thickness of a hollow wooden cylinder is 2cm. It is 35cm long and its inner radius is 12cm. What is the volume of the wood required to make the cylinder if it is open at either end?a)5120 cm3b)5720 cm3c)5820 cm3d)5620 cm3Correct answer is option 'B'. Can you explain this answer?
Question Description
The thickness of a hollow wooden cylinder is 2cm. It is 35cm long and its inner radius is 12cm. What is the volume of the wood required to make the cylinder if it is open at either end?a)5120 cm3b)5720 cm3c)5820 cm3d)5620 cm3Correct answer is option 'B'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The thickness of a hollow wooden cylinder is 2cm. It is 35cm long and its inner radius is 12cm. What is the volume of the wood required to make the cylinder if it is open at either end?a)5120 cm3b)5720 cm3c)5820 cm3d)5620 cm3Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The thickness of a hollow wooden cylinder is 2cm. It is 35cm long and its inner radius is 12cm. What is the volume of the wood required to make the cylinder if it is open at either end?a)5120 cm3b)5720 cm3c)5820 cm3d)5620 cm3Correct answer is option 'B'. Can you explain this answer?.
The thickness of a hollow wooden cylinder is 2cm. It is 35cm long and its inner radius is 12cm. What is the volume of the wood required to make the cylinder if it is open at either end?a)5120 cm3b)5720 cm3c)5820 cm3d)5620 cm3Correct answer is option 'B'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The thickness of a hollow wooden cylinder is 2cm. It is 35cm long and its inner radius is 12cm. What is the volume of the wood required to make the cylinder if it is open at either end?a)5120 cm3b)5720 cm3c)5820 cm3d)5620 cm3Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The thickness of a hollow wooden cylinder is 2cm. It is 35cm long and its inner radius is 12cm. What is the volume of the wood required to make the cylinder if it is open at either end?a)5120 cm3b)5720 cm3c)5820 cm3d)5620 cm3Correct answer is option 'B'. Can you explain this answer?.
Solutions for The thickness of a hollow wooden cylinder is 2cm. It is 35cm long and its inner radius is 12cm. What is the volume of the wood required to make the cylinder if it is open at either end?a)5120 cm3b)5720 cm3c)5820 cm3d)5620 cm3Correct answer is option 'B'. 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 thickness of a hollow wooden cylinder is 2cm. It is 35cm long and its inner radius is 12cm. What is the volume of the wood required to make the cylinder if it is open at either end?a)5120 cm3b)5720 cm3c)5820 cm3d)5620 cm3Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The thickness of a hollow wooden cylinder is 2cm. It is 35cm long and its inner radius is 12cm. What is the volume of the wood required to make the cylinder if it is open at either end?a)5120 cm3b)5720 cm3c)5820 cm3d)5620 cm3Correct answer is option 'B'. Can you explain this answer?, a detailed solution for The thickness of a hollow wooden cylinder is 2cm. It is 35cm long and its inner radius is 12cm. What is the volume of the wood required to make the cylinder if it is open at either end?a)5120 cm3b)5720 cm3c)5820 cm3d)5620 cm3Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of The thickness of a hollow wooden cylinder is 2cm. It is 35cm long and its inner radius is 12cm. What is the volume of the wood required to make the cylinder if it is open at either end?a)5120 cm3b)5720 cm3c)5820 cm3d)5620 cm3Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The thickness of a hollow wooden cylinder is 2cm. It is 35cm long and its inner radius is 12cm. What is the volume of the wood required to make the cylinder if it is open at either end?a)5120 cm3b)5720 cm3c)5820 cm3d)5620 cm3Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 9 tests.
|
|
Explore Courses for Class 9 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup