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Question 51
A solid metallic sphere of radius 4 cm is melted and recast into '4' identical cubes. What is the side of the cube?
Solution
Volume of each cube $$= \dfrac{\text{Volume of sphere}}{\text{Number of cubes}}$$
$$= \dfrac{\dfrac{4}{3}\pi\times64}{4} = \dfrac{64\pi}{3}$$
Length of each side $$= \sqrt[3]{\dfrac{64\pi}{3}} = 4\sqrt[3]{\dfrac{\pi}{3}}$$
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