CAT Exam > CAT Questions > If the volume and the surface area of a sphe...
Start Learning for Free
If the volume and the surface area of a sphere are numerically equal, then the numerical value of the radius of the sphere is.
- a)1
- b)2
- c)3
- d)4
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
If the volume and the surface area of a sphere are numerically equal,...
Volume of sphere = Surface area of sphere
4/3πr3 = 4πr2 [where r - radius]
⇒ r = 3
Free Test
FREE
| Start Free Test |
Community Answer
If the volume and the surface area of a sphere are numerically equal,...
Approach:
To solve this problem, we need to use the formulas for the volume and surface area of a sphere and set them equal to each other. Then we can solve for the radius of the sphere.
Given:
Volume of sphere = Surface area of sphere
Formulas:
Volume of sphere = (4/3)πr^3
Surface area of sphere = 4πr^2
Equation:
(4/3)πr^3 = 4πr^2
Solving for r:
Divide both sides by 4π:
(4/3)r = r^2
4r = 3r^2
r = 3
Therefore, the numerical value of the radius of the sphere is 3. Hence, the correct answer is option 'c) 3'.
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
If the volume and the surface area of a sphere are numerically equal, then the numerical value of the radius of the sphere is.a)1b)2c)3d)4Correct answer is option 'C'. Can you explain this answer?
Question Description
If the volume and the surface area of a sphere are numerically equal, then the numerical value of the radius of the sphere is.a)1b)2c)3d)4Correct answer is option 'C'. 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 If the volume and the surface area of a sphere are numerically equal, then the numerical value of the radius of the sphere is.a)1b)2c)3d)4Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the volume and the surface area of a sphere are numerically equal, then the numerical value of the radius of the sphere is.a)1b)2c)3d)4Correct answer is option 'C'. Can you explain this answer?.
If the volume and the surface area of a sphere are numerically equal, then the numerical value of the radius of the sphere is.a)1b)2c)3d)4Correct answer is option 'C'. 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 If the volume and the surface area of a sphere are numerically equal, then the numerical value of the radius of the sphere is.a)1b)2c)3d)4Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the volume and the surface area of a sphere are numerically equal, then the numerical value of the radius of the sphere is.a)1b)2c)3d)4Correct answer is option 'C'. Can you explain this answer?.
Solutions for If the volume and the surface area of a sphere are numerically equal, then the numerical value of the radius of the sphere is.a)1b)2c)3d)4Correct answer is option 'C'. 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 If the volume and the surface area of a sphere are numerically equal, then the numerical value of the radius of the sphere is.a)1b)2c)3d)4Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If the volume and the surface area of a sphere are numerically equal, then the numerical value of the radius of the sphere is.a)1b)2c)3d)4Correct answer is option 'C'. Can you explain this answer?, a detailed solution for If the volume and the surface area of a sphere are numerically equal, then the numerical value of the radius of the sphere is.a)1b)2c)3d)4Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of If the volume and the surface area of a sphere are numerically equal, then the numerical value of the radius of the sphere is.a)1b)2c)3d)4Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If the volume and the surface area of a sphere are numerically equal, then the numerical value of the radius of the sphere is.a)1b)2c)3d)4Correct answer is option 'C'. 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup