Question 63

The largest sphere is carved out of a cube of side 7 $$cm$$. What is the volume of the sphere in $$cm^3$$ (Take $$\pi = \frac{22}{7}$$)

Solution

Diameter of largest sphere = side of cube = 7 cm

Volume of sphere = $$\frac{4}{3}\pi r^3$$

= $$\frac{4}{3}\times\frac{22}{7}\times(\frac{7}{2})^3$$

= $$\frac{11}{3}\times49=\frac{539}{3}$$

= $$179\frac{2}{3}$$ $$cm^3$$

=> Ans - (A)

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