Class 9 Exam > Class 9 Questions > A solid cylinder has a total surface area of ...
Start Learning for Free
A solid cylinder has a total surface area of 462 m2. Its curved surface area is one-third of the total surface area. What is the volume of the cylinder?
- a)569 cm3
- b)539 cm3
- c)529 cm3
- d)549 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
A solid cylinder has a total surface area of 462 m2. Its curved surfac...
Given:
Total surface area of the cylinder = 462 m2
Curved surface area = 1/3 of the total surface area
To Find:
Volume of the cylinder
Solution:
Step 1: Find the Curved Surface Area
Curved surface area = 1/3 * Total surface area
Curved surface area = 1/3 * 462
Curved surface area = 154 m2
Step 2: Find the Curved Surface Area of the Cylinder
Curved surface area of a cylinder = 2πrh
Where r is the radius and h is the height of the cylinder
Step 3: Find the Height of the Cylinder
Let the radius be r and height be h
2πrh = 154
r = 7
h = 11
Step 4: Find the Volume of the Cylinder
Volume of a cylinder = πr2h
Volume = π * 7^2 * 11
Volume ≈ 539 cm3
Therefore, the volume of the cylinder is approximately 539 cm3.
Total surface area of the cylinder = 462 m2
Curved surface area = 1/3 of the total surface area
To Find:
Volume of the cylinder
Solution:
Step 1: Find the Curved Surface Area
Curved surface area = 1/3 * Total surface area
Curved surface area = 1/3 * 462
Curved surface area = 154 m2
Step 2: Find the Curved Surface Area of the Cylinder
Curved surface area of a cylinder = 2πrh
Where r is the radius and h is the height of the cylinder
Step 3: Find the Height of the Cylinder
Let the radius be r and height be h
2πrh = 154
r = 7
h = 11
Step 4: Find the Volume of the Cylinder
Volume of a cylinder = πr2h
Volume = π * 7^2 * 11
Volume ≈ 539 cm3
Therefore, the volume of the cylinder is approximately 539 cm3.
Free Test
FREE
| Start Free Test |
Community Answer
A solid cylinder has a total surface area of 462 m2. Its curved surfac...
Curved surface area
= 1/3 × total surface area
= 1/3 × 462 = 154
⇒ 2πrh = 154 …(1)
Total surface area = 462
⇒ 2πrh + 2πr2 = 462
⇒ 154 + 2πr2 = 462
⇒ 2πr2 = 308
Putting this value in (i), we get
2πrh = 154
∴ Volume of cylinder
= 1/3 × total surface area
= 1/3 × 462 = 154
⇒ 2πrh = 154 …(1)
Total surface area = 462
⇒ 2πrh + 2πr2 = 462
⇒ 154 + 2πr2 = 462
⇒ 2πr2 = 308
Putting this value in (i), we get
2πrh = 154
∴ Volume of cylinder
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
A solid cylinder has a total surface area of 462 m2. Its curved surface area is one-third of the total surface area. What is the volume of the cylinder?a)569 cm3b)539 cm3c)529 cm3d)549 cm3Correct answer is option 'B'. Can you explain this answer?
Question Description
A solid cylinder has a total surface area of 462 m2. Its curved surface area is one-third of the total surface area. What is the volume of the cylinder?a)569 cm3b)539 cm3c)529 cm3d)549 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 A solid cylinder has a total surface area of 462 m2. Its curved surface area is one-third of the total surface area. What is the volume of the cylinder?a)569 cm3b)539 cm3c)529 cm3d)549 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 A solid cylinder has a total surface area of 462 m2. Its curved surface area is one-third of the total surface area. What is the volume of the cylinder?a)569 cm3b)539 cm3c)529 cm3d)549 cm3Correct answer is option 'B'. Can you explain this answer?.
A solid cylinder has a total surface area of 462 m2. Its curved surface area is one-third of the total surface area. What is the volume of the cylinder?a)569 cm3b)539 cm3c)529 cm3d)549 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 A solid cylinder has a total surface area of 462 m2. Its curved surface area is one-third of the total surface area. What is the volume of the cylinder?a)569 cm3b)539 cm3c)529 cm3d)549 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 A solid cylinder has a total surface area of 462 m2. Its curved surface area is one-third of the total surface area. What is the volume of the cylinder?a)569 cm3b)539 cm3c)529 cm3d)549 cm3Correct answer is option 'B'. Can you explain this answer?.
Solutions for A solid cylinder has a total surface area of 462 m2. Its curved surface area is one-third of the total surface area. What is the volume of the cylinder?a)569 cm3b)539 cm3c)529 cm3d)549 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 A solid cylinder has a total surface area of 462 m2. Its curved surface area is one-third of the total surface area. What is the volume of the cylinder?a)569 cm3b)539 cm3c)529 cm3d)549 cm3Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A solid cylinder has a total surface area of 462 m2. Its curved surface area is one-third of the total surface area. What is the volume of the cylinder?a)569 cm3b)539 cm3c)529 cm3d)549 cm3Correct answer is option 'B'. Can you explain this answer?, a detailed solution for A solid cylinder has a total surface area of 462 m2. Its curved surface area is one-third of the total surface area. What is the volume of the cylinder?a)569 cm3b)539 cm3c)529 cm3d)549 cm3Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of A solid cylinder has a total surface area of 462 m2. Its curved surface area is one-third of the total surface area. What is the volume of the cylinder?a)569 cm3b)539 cm3c)529 cm3d)549 cm3Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A solid cylinder has a total surface area of 462 m2. Its curved surface area is one-third of the total surface area. What is the volume of the cylinder?a)569 cm3b)539 cm3c)529 cm3d)549 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