Question

How many smaller solid balls of radius 2 cm can be made by melting a solid sphere of radius 8 cm?

• A. 128
• B. 512
• C. 64
• D. 32

Answer 1

The correct option is C 64

Number of balls made $=\frac{Volumeofsphere}{Volumeofeachsphericalball}$
Volume of a sphere of radius 'r' $=\frac{4}{3}\pi r^3$
Hence, number of balls made $=\frac{\frac{4}{3}\pi \times 8^3}{\frac{4}{3}\pi \times 2^3}=64$