SSC CPO 2025 PYQ — Question 108

Diameter of the large sphere = 14 cm ⇒ Radius = 7 cm

Diameter of the small hemisphere = 7 cm ⇒ Radius = 3.5 cm

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

Volume of a hemisphere $= \frac{2}{3}\pi r^3$

Volume of the large sphere $= \frac{4}{3}\pi (7)^3$

Volume of the small hemisphere = (2/3)π(3.5)³

Number of hemispheres $= \frac{\frac{4}{3}\pi (7)^3}{\frac{2}{3}\pi (3.5)^3} = 16$