Airforce X Y / Indian Navy SSR Exam > Airforce X Y / Indian Navy SSR Questions > The radius of the base of a cylinder is 7 cm ...
Start Learning for Free
The radius of the base of a cylinder is 7 cm and its curved surface area is 440 cm2. It's volume will be: (Take π = 22/7)
- a)1760 cm3
- b)1430 cm3
- c)1540 cm3
- d)1650 cm3
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The radius of the base of a cylinder is 7 cm and its curved surface ar...
Given:
The curved surface area of a cylinder is 440 sq cm. The circumference of its base is 44 cm.
Radius of the cylinder = 7 cm.
Formula Used:
Curved surface area of cylinder = 2πrh
Calculation:
According to the question.
So, 2πrh = 440
⇒ 2 × (22/7) × 7 × h = 440
⇒ h = 440/44
⇒ h = 10
The volume of the cylinder
⇒ πr2h = (22/7) × 72 × 10
⇒ 1540 cm3.
∴ It's Volume is 1540 cm3.
The curved surface area of a cylinder is 440 sq cm. The circumference of its base is 44 cm.
Radius of the cylinder = 7 cm.
Formula Used:
Curved surface area of cylinder = 2πrh
Calculation:
According to the question.
So, 2πrh = 440
⇒ 2 × (22/7) × 7 × h = 440
⇒ h = 440/44
⇒ h = 10
The volume of the cylinder
⇒ πr2h = (22/7) × 72 × 10
⇒ 1540 cm3.
∴ It's Volume is 1540 cm3.
Most Upvoted Answer
The radius of the base of a cylinder is 7 cm and its curved surface ar...
To find the volume of a cylinder, we need to know the radius of its base and its height. However, the height is not given in the question.
We are given that the radius of the base is 7 cm.
We are also given that the curved surface area is 440 cm^2.
The formula for the curved surface area of a cylinder is given by: CSA = 2πrh, where r is the radius of the base and h is the height.
We can rearrange this formula to solve for the height: h = CSA / (2πr).
Substituting the given values, we get: h = 440 / (2π * 7).
Calculating this expression, we find: h ≈ 10 cm.
Now we can calculate the volume of the cylinder using the formula: V = πr^2h.
Substituting the given values, we get: V = π * 7^2 * 10.
Calculating this expression, we find: V ≈ 1540 cm^3.
Therefore, the volume of the cylinder is approximately 1540 cm^3.
We are given that the radius of the base is 7 cm.
We are also given that the curved surface area is 440 cm^2.
The formula for the curved surface area of a cylinder is given by: CSA = 2πrh, where r is the radius of the base and h is the height.
We can rearrange this formula to solve for the height: h = CSA / (2πr).
Substituting the given values, we get: h = 440 / (2π * 7).
Calculating this expression, we find: h ≈ 10 cm.
Now we can calculate the volume of the cylinder using the formula: V = πr^2h.
Substituting the given values, we get: V = π * 7^2 * 10.
Calculating this expression, we find: V ≈ 1540 cm^3.
Therefore, the volume of the cylinder is approximately 1540 cm^3.
Free Test
FREE
| Start Free Test |
Community Answer
The radius of the base of a cylinder is 7 cm and its curved surface ar...
Given:
The curved surface area of a cylinder is 440 sq cm. The circumference of its base is 44 cm.
Radius of the cylinder = 7 cm.
Formula Used:
Curved surface area of cylinder = 2πrh
Calculation:
According to the question.
So, 2πrh = 440
⇒ 2 × (22/7) × 7 × h = 440
⇒ h = 440/44
⇒ h = 10
The volume of the cylinder
⇒ πr2h = (22/7) × 72 × 10
⇒ 1540 cm3.
∴ It's Volume is 1540 cm3.
The curved surface area of a cylinder is 440 sq cm. The circumference of its base is 44 cm.
Radius of the cylinder = 7 cm.
Formula Used:
Curved surface area of cylinder = 2πrh
Calculation:
According to the question.
So, 2πrh = 440
⇒ 2 × (22/7) × 7 × h = 440
⇒ h = 440/44
⇒ h = 10
The volume of the cylinder
⇒ πr2h = (22/7) × 72 × 10
⇒ 1540 cm3.
∴ It's Volume is 1540 cm3.
|
Explore Courses for Airforce X Y / Indian Navy SSR exam
|
|
Similar Airforce X Y / Indian Navy SSR Doubts
Top Courses for Airforce X Y / Indian Navy SSRView all
The radius of the base of a cylinder is 7 cm and its curved surface area is 440 cm2. Its volume will be: (Take π = 22/7)a)1760 cm3b)1430cm3c)1540cm3d)1650cm3Correct answer is option 'C'. Can you explain this answer?
Question Description
The radius of the base of a cylinder is 7 cm and its curved surface area is 440 cm2. Its volume will be: (Take π = 22/7)a)1760 cm3b)1430cm3c)1540cm3d)1650cm3Correct answer is option 'C'. Can you explain this answer? for Airforce X Y / Indian Navy SSR 2025 is part of Airforce X Y / Indian Navy SSR preparation. The Question and answers have been prepared according to the Airforce X Y / Indian Navy SSR exam syllabus. Information about The radius of the base of a cylinder is 7 cm and its curved surface area is 440 cm2. Its volume will be: (Take π = 22/7)a)1760 cm3b)1430cm3c)1540cm3d)1650cm3Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Airforce X Y / Indian Navy SSR 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The radius of the base of a cylinder is 7 cm and its curved surface area is 440 cm2. Its volume will be: (Take π = 22/7)a)1760 cm3b)1430cm3c)1540cm3d)1650cm3Correct answer is option 'C'. Can you explain this answer?.
The radius of the base of a cylinder is 7 cm and its curved surface area is 440 cm2. Its volume will be: (Take π = 22/7)a)1760 cm3b)1430cm3c)1540cm3d)1650cm3Correct answer is option 'C'. Can you explain this answer? for Airforce X Y / Indian Navy SSR 2025 is part of Airforce X Y / Indian Navy SSR preparation. The Question and answers have been prepared according to the Airforce X Y / Indian Navy SSR exam syllabus. Information about The radius of the base of a cylinder is 7 cm and its curved surface area is 440 cm2. Its volume will be: (Take π = 22/7)a)1760 cm3b)1430cm3c)1540cm3d)1650cm3Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Airforce X Y / Indian Navy SSR 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The radius of the base of a cylinder is 7 cm and its curved surface area is 440 cm2. Its volume will be: (Take π = 22/7)a)1760 cm3b)1430cm3c)1540cm3d)1650cm3Correct answer is option 'C'. Can you explain this answer?.
Solutions for The radius of the base of a cylinder is 7 cm and its curved surface area is 440 cm2. Its volume will be: (Take π = 22/7)a)1760 cm3b)1430cm3c)1540cm3d)1650cm3Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Airforce X Y / Indian Navy SSR.
Download more important topics, notes, lectures and mock test series for Airforce X Y / Indian Navy SSR Exam by signing up for free.
Here you can find the meaning of The radius of the base of a cylinder is 7 cm and its curved surface area is 440 cm2. Its volume will be: (Take π = 22/7)a)1760 cm3b)1430cm3c)1540cm3d)1650cm3Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The radius of the base of a cylinder is 7 cm and its curved surface area is 440 cm2. Its volume will be: (Take π = 22/7)a)1760 cm3b)1430cm3c)1540cm3d)1650cm3Correct answer is option 'C'. Can you explain this answer?, a detailed solution for The radius of the base of a cylinder is 7 cm and its curved surface area is 440 cm2. Its volume will be: (Take π = 22/7)a)1760 cm3b)1430cm3c)1540cm3d)1650cm3Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of The radius of the base of a cylinder is 7 cm and its curved surface area is 440 cm2. Its volume will be: (Take π = 22/7)a)1760 cm3b)1430cm3c)1540cm3d)1650cm3Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The radius of the base of a cylinder is 7 cm and its curved surface area is 440 cm2. Its volume will be: (Take π = 22/7)a)1760 cm3b)1430cm3c)1540cm3d)1650cm3Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Airforce X Y / Indian Navy SSR tests.
|
|
Explore Courses for Airforce X Y / Indian Navy SSR 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