SSC CGL 2025 PYQ — Question 52

SSC CGL - 12 Sep 2025 - Shift 3 • Quantitative Aptitude • Q52

A vertical cylindrical tank is filled with water. A solid hemispherical ball of radius 6 cm is completely immersed in it, and the water level rises by 4 cm. What is the radius of the cylinder?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 6 cm.

Volume of cylinder = Volume of hemispherical ball

⇒ πr2h\pi r^2 h = 23πr3\frac{2}{3} \pi r^3

⇒ r2 × 4 = (2/3) × 63

⇒ r2 = 144/4

⇒ r2 = 36

⇒ r = 6 cm