SSC CGL 2025 PYQ — Question 56

The correct answer is option 1 i.e. 2:1.

Let the base radius of cone and hemisphere be r.

Volume of cone = $\frac{1}{3} \pi r^2h$

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

Given, $\frac{1}{3} \pi r^2h$ = $\frac{2}{3} \pi r^3$ 

⇒ h = 2r

⇒ h : r = 2 : 1