SSC CHSL 2024 PYQ — Question 55

The correct answer is option 2 i.e. $1437\frac{1}{3}$.

Side of the cube = 14 cm

Thus, the diameter of the sphere = 14 cm.

So, r = d/2 = 14/2 = 7 cm

The formula for the volume of a sphere is:

⇒ V = $\frac{4}{3}$ $πr^3$

⇒ V = $\frac{4}{3}$π$(7)^3$

⇒ V = $\frac{4}{3}$ × 343 × $\frac{22}{7}$

⇒ V = 1437$\frac{1}{3}$$cm^3$