Class 10 Exam > Class 10 Questions > How many balls, each of radius 1 cm, can be m...
Start Learning for Free
How many balls, each of radius 1 cm, can be made from a solid sphere of lead of radius 8 cm.
- a)64
- b)512
- c)8
- d)256
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
How many balls, each of radius 1 cm, can be made from a solid sphere o...
Solution:
Given, radius of solid sphere of lead = 8 cm
Radius of each ball = 1 cm
Let's assume that we can make n balls from the solid sphere of lead.
Then, the volume of the solid sphere of lead = sum of volumes of n balls
Volume of solid sphere of lead = 4/3π(8)^3 cubic cm
Volume of each ball = 4/3π(1)^3 cubic cm
Volume of n balls = n × 4/3π cubic cm
As we know that volume of solid sphere of lead = volume of n balls
4/3π(8)^3 = n × 4/3π(1)^3
n = (4/3π(8)^3)/(4/3π(1)^3)
n = (2^9)/(1^9) = 512
Therefore, the number of balls that can be made from a solid sphere of lead of radius 8 cm is 512.
Given, radius of solid sphere of lead = 8 cm
Radius of each ball = 1 cm
Let's assume that we can make n balls from the solid sphere of lead.
Then, the volume of the solid sphere of lead = sum of volumes of n balls
Volume of solid sphere of lead = 4/3π(8)^3 cubic cm
Volume of each ball = 4/3π(1)^3 cubic cm
Volume of n balls = n × 4/3π cubic cm
As we know that volume of solid sphere of lead = volume of n balls
4/3π(8)^3 = n × 4/3π(1)^3
n = (4/3π(8)^3)/(4/3π(1)^3)
n = (2^9)/(1^9) = 512
Therefore, the number of balls that can be made from a solid sphere of lead of radius 8 cm is 512.
Free Test
FREE
| Start Free Test |
Community Answer
How many balls, each of radius 1 cm, can be made from a solid sphere o...
|
Explore Courses for Class 10 exam
|
|
Top Courses for Class 10View all
Question Description
How many balls, each of radius 1 cm, can be made from a solid sphere of lead of radius 8 cm.a)64b)512c)8d)256Correct answer is option 'B'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about How many balls, each of radius 1 cm, can be made from a solid sphere of lead of radius 8 cm.a)64b)512c)8d)256Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many balls, each of radius 1 cm, can be made from a solid sphere of lead of radius 8 cm.a)64b)512c)8d)256Correct answer is option 'B'. Can you explain this answer?.
How many balls, each of radius 1 cm, can be made from a solid sphere of lead of radius 8 cm.a)64b)512c)8d)256Correct answer is option 'B'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about How many balls, each of radius 1 cm, can be made from a solid sphere of lead of radius 8 cm.a)64b)512c)8d)256Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many balls, each of radius 1 cm, can be made from a solid sphere of lead of radius 8 cm.a)64b)512c)8d)256Correct answer is option 'B'. Can you explain this answer?.
Solutions for How many balls, each of radius 1 cm, can be made from a solid sphere of lead of radius 8 cm.a)64b)512c)8d)256Correct answer is option 'B'. 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 How many balls, each of radius 1 cm, can be made from a solid sphere of lead of radius 8 cm.a)64b)512c)8d)256Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
How many balls, each of radius 1 cm, can be made from a solid sphere of lead of radius 8 cm.a)64b)512c)8d)256Correct answer is option 'B'. Can you explain this answer?, a detailed solution for How many balls, each of radius 1 cm, can be made from a solid sphere of lead of radius 8 cm.a)64b)512c)8d)256Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of How many balls, each of radius 1 cm, can be made from a solid sphere of lead of radius 8 cm.a)64b)512c)8d)256Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice How many balls, each of radius 1 cm, can be made from a solid sphere of lead of radius 8 cm.a)64b)512c)8d)256Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 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