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
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.
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