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Question 52
How many spherical balls each of 2cm radius can be made out of a solid metallic cube of edge 44 cm?(Take $$\pi = \frac{22}{7}$$)
Solution
Volume of the cube =$$l^{3}$$
=44*44*44
Let 'n' be total number of spherical balls
Therefore n*($$(4/3)\pi r^{3}$$)=44*44*44
n*$$(4/3)*(22/7) 2^{3}$$=44*44*44
n=44*44*7*3/32
n=2541
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