Software Development Exam > Software Development Questions > If the height of a cylinder is 11 cm and the ...
Start Learning for Free
If the height of a cylinder is 11 cm and the curved surface area is 968 cm2, then the radius of the cylinder will be
- a)10 cm
- b)11 cm
- c)14 cm
- d)8 cm
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If the height of a cylinder is 11 cm and the curved surface area is 96...
Given:
Height of a cylinder = 11 cm
Curved surface area = 968cm2
Formula used:
Curved surface area of cylinder = 2πrh
Calculation:
Height of a cylinder = 11 cm
Curved surface area = 968cm
2
⇒ 2πrh = 968
⇒ 2 × 22/7 × r × 11 = 968
r = 14cm
∴ Radius of the cylinder is 14cm.
Most Upvoted Answer
If the height of a cylinder is 11 cm and the curved surface area is 96...
Understanding the Problem
To find the radius of the cylinder, we need to use the formula for the curved surface area (CSA) of a cylinder. The curved surface area is given by the formula:
CSA = 2 * π * r * h
Where:
- r = radius of the cylinder
- h = height of the cylinder
Given:
- Height (h) = 11 cm
- Curved Surface Area (CSA) = 968 cm²
Step-by-Step Calculation
1. Substituting the known values into the formula:
968 = 2 * π * r * 11
2. Simplifying the equation:
968 = 22 * π * r
3. Isolating r:
r = 968 / (22 * π)
4. Calculating the numerical values:
- First, calculate 22 * π (approximately 69.08).
- Then, divide 968 by this result.
5. Final Calculation:
r = 968 / 69.08 ≈ 14 cm
Conclusion
The radius of the cylinder is approximately 14 cm, which corresponds to option 'C'.
Key Takeaways
- The formula for the curved surface area of a cylinder is crucial for solving similar problems.
- Substituting known values and simplifying step by step leads to the correct radius.
- Always check calculations for accuracy to confirm the final answer.
To find the radius of the cylinder, we need to use the formula for the curved surface area (CSA) of a cylinder. The curved surface area is given by the formula:
CSA = 2 * π * r * h
Where:
- r = radius of the cylinder
- h = height of the cylinder
Given:
- Height (h) = 11 cm
- Curved Surface Area (CSA) = 968 cm²
Step-by-Step Calculation
1. Substituting the known values into the formula:
968 = 2 * π * r * 11
2. Simplifying the equation:
968 = 22 * π * r
3. Isolating r:
r = 968 / (22 * π)
4. Calculating the numerical values:
- First, calculate 22 * π (approximately 69.08).
- Then, divide 968 by this result.
5. Final Calculation:
r = 968 / 69.08 ≈ 14 cm
Conclusion
The radius of the cylinder is approximately 14 cm, which corresponds to option 'C'.
Key Takeaways
- The formula for the curved surface area of a cylinder is crucial for solving similar problems.
- Substituting known values and simplifying step by step leads to the correct radius.
- Always check calculations for accuracy to confirm the final answer.
|
Explore Courses for Software Development exam
|
|
Similar Software Development Doubts
Top Courses for Software DevelopmentView all
If the height of a cylinder is 11 cm and the curved surface area is 968 cm2, then the radius of the cylinder will bea)10 cmb)11 cmc)14 cmd)8 cmCorrect answer is option 'C'. Can you explain this answer?
Question Description
If the height of a cylinder is 11 cm and the curved surface area is 968 cm2, then the radius of the cylinder will bea)10 cmb)11 cmc)14 cmd)8 cmCorrect answer is option 'C'. Can you explain this answer? for Software Development 2025 is part of Software Development preparation. The Question and answers have been prepared according to the Software Development exam syllabus. Information about If the height of a cylinder is 11 cm and the curved surface area is 968 cm2, then the radius of the cylinder will bea)10 cmb)11 cmc)14 cmd)8 cmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Software Development 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the height of a cylinder is 11 cm and the curved surface area is 968 cm2, then the radius of the cylinder will bea)10 cmb)11 cmc)14 cmd)8 cmCorrect answer is option 'C'. Can you explain this answer?.
If the height of a cylinder is 11 cm and the curved surface area is 968 cm2, then the radius of the cylinder will bea)10 cmb)11 cmc)14 cmd)8 cmCorrect answer is option 'C'. Can you explain this answer? for Software Development 2025 is part of Software Development preparation. The Question and answers have been prepared according to the Software Development exam syllabus. Information about If the height of a cylinder is 11 cm and the curved surface area is 968 cm2, then the radius of the cylinder will bea)10 cmb)11 cmc)14 cmd)8 cmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Software Development 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the height of a cylinder is 11 cm and the curved surface area is 968 cm2, then the radius of the cylinder will bea)10 cmb)11 cmc)14 cmd)8 cmCorrect answer is option 'C'. Can you explain this answer?.
Solutions for If the height of a cylinder is 11 cm and the curved surface area is 968 cm2, then the radius of the cylinder will bea)10 cmb)11 cmc)14 cmd)8 cmCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Software Development.
Download more important topics, notes, lectures and mock test series for Software Development Exam by signing up for free.
Here you can find the meaning of If the height of a cylinder is 11 cm and the curved surface area is 968 cm2, then the radius of the cylinder will bea)10 cmb)11 cmc)14 cmd)8 cmCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If the height of a cylinder is 11 cm and the curved surface area is 968 cm2, then the radius of the cylinder will bea)10 cmb)11 cmc)14 cmd)8 cmCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for If the height of a cylinder is 11 cm and the curved surface area is 968 cm2, then the radius of the cylinder will bea)10 cmb)11 cmc)14 cmd)8 cmCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of If the height of a cylinder is 11 cm and the curved surface area is 968 cm2, then the radius of the cylinder will bea)10 cmb)11 cmc)14 cmd)8 cmCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If the height of a cylinder is 11 cm and the curved surface area is 968 cm2, then the radius of the cylinder will bea)10 cmb)11 cmc)14 cmd)8 cmCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Software Development tests.
|
|
Explore Courses for Software Development 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