A metallic sphere of diameter 40 cm is melted into smaller spheres of radius 0.5Â cm. How many such small balls can be made?
Volume of sphere = $$\frac{4}{3} \pi r^3$$
radius of sphere = diameter/2 = 40/2 = 20 cm
volume of sphere = total volume of all smaller sphere
$$\frac{4}{3} \pi 20^3 = n \times \frac{4}{3} \pi (0.5)^3$$
8000 = 0.125n
n = 8000/0.125 = 64000
$$\therefore$$Â 64000Â small balls can be made.
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