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Question

State True(1) or False(0).

A solid ball is exactly fitted inside the cubical box of side a. The volume of the ball is $$\frac{4}{3} \pi a^3$$


Solution

diameter of sphere = a = side of cube 
radius of sphere $$=\dfrac{a}{2}$$
Volume of sphere = $$\dfrac{4}{3} \pi (\dfrac{a}{2})^3$$

Mathematics

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