3 Views

Question : A spherical lead ball of radius 10 cm is melted and small lead balls of radius 5 mm are made. The total number of possible small lead balls is (Take $\pi =\frac{22}{7}$)

Option 1: 8000

Option 2: 400

Option 3: 800

Option 4: 125


Team Careers360 4th Jan, 2024
Answer (1)
Team Careers360 14th Jan, 2024

Correct Answer: 8000


Solution : The radius of the bigger ball = 10 cm
The radius of smaller ball = 5 mm = 0.5 cm
Volume of sphere = $\frac{4}{3}\pi r^3$
The volume of a bigger ball
=$\frac{4}{3}\pi(10)^3\ cm^3$
Volume of smaller ball = $\frac{4}{3}\pi(0.5)^3$
Possible number of balls = $\frac{\frac{4}{3}\pi(10)^3}{\frac{4}{3}\pi(0.5)^3}$ = 8000
Hence, the correct answer is 8000.

Know More About

Related Questions

TOEFL ® Registrations 2024
Apply
Accepted by more than 11,000 universities in over 150 countries worldwide
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books