QQuestion
Calculate how many spherical marbles with 1 cm radius each may be formed by melting a solid sphere of iron having 8 cm of radius.
✓Answer
Radius of big sphere = 8 cm
Radius of each marble = 1 cm
Formula: Volume of a sphere = \frac{4}{3}πr³
Number of marbles = Volume (big) ÷ Volume (one marble)
= \frac{\tfrac{4}{3}\pi\cdot 8^3}{\tfrac{4}{3}\pi\cdot 1^3}
= 8³ = 512
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