Class 10 Exam > Class 10 Questions > The volume of a sphere (in cu. cm) is equal t...
Start Learning for Free
The volume of a sphere (in cu. cm) is equal to its surface area (in sq. cm). The diameter of the sphere (in cm) is
- a)4
- b)3
- c)2
- d)6
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
The volume of a sphere (in cu. cm) is equal to its surface area (in sq...
Free Test
FREE
| Start Free Test |
Community Answer
The volume of a sphere (in cu. cm) is equal to its surface area (in sq...
Given: Volume of sphere = Surface area of sphere
To find: Diameter of sphere
Solution:
Let's consider the formula for the volume and surface area of a sphere:
Volume of sphere = (4/3)πr³
Surface area of sphere = 4πr²
Let's assume that the radius of the sphere is 'r' and the diameter of the sphere is 'd'.
We know that, d = 2r
Given, Volume of sphere = Surface area of sphere
(4/3)πr³ = 4πr²
Dividing both sides by 4πr², we get:
(4/3)r = 1
r = 3/4
Substituting the value of 'r' in d = 2r, we get:
d = 2(3/4) = 3/2
Therefore, the diameter of the sphere is 3/2 cm which is equivalent to 1.5 cm.
Hence, the correct option is (D) 6 cm.
Note: It is important to understand the formulae of volume and surface area of a sphere to solve such problems. Also, make sure to use proper units while solving the problem.
To find: Diameter of sphere
Solution:
Let's consider the formula for the volume and surface area of a sphere:
Volume of sphere = (4/3)πr³
Surface area of sphere = 4πr²
Let's assume that the radius of the sphere is 'r' and the diameter of the sphere is 'd'.
We know that, d = 2r
Given, Volume of sphere = Surface area of sphere
(4/3)πr³ = 4πr²
Dividing both sides by 4πr², we get:
(4/3)r = 1
r = 3/4
Substituting the value of 'r' in d = 2r, we get:
d = 2(3/4) = 3/2
Therefore, the diameter of the sphere is 3/2 cm which is equivalent to 1.5 cm.
Hence, the correct option is (D) 6 cm.
Note: It is important to understand the formulae of volume and surface area of a sphere to solve such problems. Also, make sure to use proper units while solving the problem.
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
The volume of a sphere (in cu. cm) is equal to its surface area (in sq. cm). The diameter of the sphere (in cm) isa)4b)3c)2d)6Correct answer is option 'D'. Can you explain this answer?
Question Description
The volume of a sphere (in cu. cm) is equal to its surface area (in sq. cm). The diameter of the sphere (in cm) isa)4b)3c)2d)6Correct answer is option 'D'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The volume of a sphere (in cu. cm) is equal to its surface area (in sq. cm). The diameter of the sphere (in cm) isa)4b)3c)2d)6Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The volume of a sphere (in cu. cm) is equal to its surface area (in sq. cm). The diameter of the sphere (in cm) isa)4b)3c)2d)6Correct answer is option 'D'. Can you explain this answer?.
The volume of a sphere (in cu. cm) is equal to its surface area (in sq. cm). The diameter of the sphere (in cm) isa)4b)3c)2d)6Correct answer is option 'D'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The volume of a sphere (in cu. cm) is equal to its surface area (in sq. cm). The diameter of the sphere (in cm) isa)4b)3c)2d)6Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The volume of a sphere (in cu. cm) is equal to its surface area (in sq. cm). The diameter of the sphere (in cm) isa)4b)3c)2d)6Correct answer is option 'D'. Can you explain this answer?.
Solutions for The volume of a sphere (in cu. cm) is equal to its surface area (in sq. cm). The diameter of the sphere (in cm) isa)4b)3c)2d)6Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of The volume of a sphere (in cu. cm) is equal to its surface area (in sq. cm). The diameter of the sphere (in cm) isa)4b)3c)2d)6Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The volume of a sphere (in cu. cm) is equal to its surface area (in sq. cm). The diameter of the sphere (in cm) isa)4b)3c)2d)6Correct answer is option 'D'. Can you explain this answer?, a detailed solution for The volume of a sphere (in cu. cm) is equal to its surface area (in sq. cm). The diameter of the sphere (in cm) isa)4b)3c)2d)6Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of The volume of a sphere (in cu. cm) is equal to its surface area (in sq. cm). The diameter of the sphere (in cm) isa)4b)3c)2d)6Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The volume of a sphere (in cu. cm) is equal to its surface area (in sq. cm). The diameter of the sphere (in cm) isa)4b)3c)2d)6Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 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