Quantitative Aptitude Ques 1543
Question: A solid sphere of radius 5 cm is melted and then cast into small spherical balls each of diameter 10 mm. Find the number of balls made.
Options:
A) 50
B) 1000
C) 100
D) 500
Show Answer
Answer:
Correct Answer: B
Solution:
- (b) Radius of the sphere $ =5cm $ Volume of the sphere $ =\frac{4}{3}\times \pi \times 5\times 5\times 5 $ Radius of the small sphere $ =\frac{1}{2}cm $ Volume of each small sphere $ =\frac{4}{3}\times \pi \times \frac{1}{2}\times \frac{1}{2}\times \frac{1}{2} $
$ \therefore $ Number of balls made $ =\frac{\frac{4}{3}\times \pi \times 5\times 5\times 5}{\frac{4}{3}\times \pi \times \frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}}=1000 $
BETA
