CAT Exam > CAT Questions > The area of a cylinder varies jointly with th...
Start Learning for Free
The area of a cylinder varies jointly with the radius and the height. When the radius is 3 and the height is 6, the area is 367E. Find the area when the radius is 4 and the height is 5.
- a)40π
- b)32π
- c)36π
- d)48π
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The area of a cylinder varies jointly with the radius and the height. ...
Let A be the area, r be the radius and h be the height.
A = krh
When r = 3 and h = 6,A = 36π
36π = k x 3 x 6
k = 2π
When r = 4 and h = 5
A = 2πx 4 x 5 = 40π
Hence, option 1.
A = krh
When r = 3 and h = 6,A = 36π
36π = k x 3 x 6
k = 2π
When r = 4 and h = 5
A = 2πx 4 x 5 = 40π
Hence, option 1.
Most Upvoted Answer
The area of a cylinder varies jointly with the radius and the height. ...
To solve this problem, we will use the concept of joint variation. Joint variation is a type of direct variation where a variable depends on the product of two or more other variables. In this case, the area of the cylinder depends on both the radius and the height.
Let's denote the area of the cylinder as A, the radius as r, and the height as h. According to the problem, the area of the cylinder varies jointly with the radius and the height. This can be represented mathematically as:
A ∝ r * h
We can also write this equation in the form of a proportion:
A = k * r * h
where k is the constant of variation. We can find the value of k by using the given information. When the radius is 3 and the height is 6, the area is 367E. Substituting these values into the equation, we have:
367E = k * 3 * 6
Simplifying the equation, we get:
367E = 18k
Now, we need to find the value of k. To do this, we divide both sides of the equation by 18:
k = 367E / 18
k = 20.39E
Now that we have the value of k, we can use it to find the area when the radius is 4 and the height is 5. Substituting these values into the equation, we have:
A = 20.39E * 4 * 5
Simplifying the equation, we get:
A = 407.8E
Therefore, the area of the cylinder when the radius is 4 and the height is 5 is 407.8E. However, this answer is not among the options provided. Let's check our calculations.
Calculating the area using the given options:
- Option A: 40
- Option B: 32
- Option C: 36
- Option D: 48
None of these options match our calculation of 407.8E. Therefore, none of the given options is correct. It is possible that there was an error in the options provided or in the given answer. Please double-check the question and the answer choices to ensure accuracy.
Let's denote the area of the cylinder as A, the radius as r, and the height as h. According to the problem, the area of the cylinder varies jointly with the radius and the height. This can be represented mathematically as:
A ∝ r * h
We can also write this equation in the form of a proportion:
A = k * r * h
where k is the constant of variation. We can find the value of k by using the given information. When the radius is 3 and the height is 6, the area is 367E. Substituting these values into the equation, we have:
367E = k * 3 * 6
Simplifying the equation, we get:
367E = 18k
Now, we need to find the value of k. To do this, we divide both sides of the equation by 18:
k = 367E / 18
k = 20.39E
Now that we have the value of k, we can use it to find the area when the radius is 4 and the height is 5. Substituting these values into the equation, we have:
A = 20.39E * 4 * 5
Simplifying the equation, we get:
A = 407.8E
Therefore, the area of the cylinder when the radius is 4 and the height is 5 is 407.8E. However, this answer is not among the options provided. Let's check our calculations.
Calculating the area using the given options:
- Option A: 40
- Option B: 32
- Option C: 36
- Option D: 48
None of these options match our calculation of 407.8E. Therefore, none of the given options is correct. It is possible that there was an error in the options provided or in the given answer. Please double-check the question and the answer choices to ensure accuracy.
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
|
Explore Courses for CAT exam
|
|
Similar CAT Doubts
Top Courses for CATView all
The area of a cylinder varies jointly with the radius and the height. When the radius is 3 and the height is 6, the area is 367E. Find the area when the radius is 4 and the height is 5.a)40πb)32πc)36πd)48πCorrect answer is option 'A'. Can you explain this answer?
Question Description
The area of a cylinder varies jointly with the radius and the height. When the radius is 3 and the height is 6, the area is 367E. Find the area when the radius is 4 and the height is 5.a)40πb)32πc)36πd)48πCorrect answer is option 'A'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The area of a cylinder varies jointly with the radius and the height. When the radius is 3 and the height is 6, the area is 367E. Find the area when the radius is 4 and the height is 5.a)40πb)32πc)36πd)48πCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The area of a cylinder varies jointly with the radius and the height. When the radius is 3 and the height is 6, the area is 367E. Find the area when the radius is 4 and the height is 5.a)40πb)32πc)36πd)48πCorrect answer is option 'A'. Can you explain this answer?.
The area of a cylinder varies jointly with the radius and the height. When the radius is 3 and the height is 6, the area is 367E. Find the area when the radius is 4 and the height is 5.a)40πb)32πc)36πd)48πCorrect answer is option 'A'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The area of a cylinder varies jointly with the radius and the height. When the radius is 3 and the height is 6, the area is 367E. Find the area when the radius is 4 and the height is 5.a)40πb)32πc)36πd)48πCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The area of a cylinder varies jointly with the radius and the height. When the radius is 3 and the height is 6, the area is 367E. Find the area when the radius is 4 and the height is 5.a)40πb)32πc)36πd)48πCorrect answer is option 'A'. Can you explain this answer?.
Solutions for The area of a cylinder varies jointly with the radius and the height. When the radius is 3 and the height is 6, the area is 367E. Find the area when the radius is 4 and the height is 5.a)40πb)32πc)36πd)48πCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of The area of a cylinder varies jointly with the radius and the height. When the radius is 3 and the height is 6, the area is 367E. Find the area when the radius is 4 and the height is 5.a)40πb)32πc)36πd)48πCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The area of a cylinder varies jointly with the radius and the height. When the radius is 3 and the height is 6, the area is 367E. Find the area when the radius is 4 and the height is 5.a)40πb)32πc)36πd)48πCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for The area of a cylinder varies jointly with the radius and the height. When the radius is 3 and the height is 6, the area is 367E. Find the area when the radius is 4 and the height is 5.a)40πb)32πc)36πd)48πCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of The area of a cylinder varies jointly with the radius and the height. When the radius is 3 and the height is 6, the area is 367E. Find the area when the radius is 4 and the height is 5.a)40πb)32πc)36πd)48πCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The area of a cylinder varies jointly with the radius and the height. When the radius is 3 and the height is 6, the area is 367E. Find the area when the radius is 4 and the height is 5.a)40πb)32πc)36πd)48πCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice CAT tests.
|
|
Explore Courses for CAT 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