Question

A cylindrical vessel of radius 4 cm contains water. A solid sphere of 3 cm radius is lowered into the water until it is completely immersed . The water level in the vessel will rise by :

Accepted Answer

C. Volume of water displaced = Volume of sphere = $\frac{4}{3} \pi (3)^3 = 36\pi$. Rise in water level $h$ in cylindrical vessel of radius $r = 4$ cm: $\pi r^2 h = 36\pi \implies 16 \pi h = 36\pi \implies h = \frac{36}{16} = \frac{9}{4}$ cm. Hence, Option C is correct.

Rise in Water Level in Cylinder

Explanation

Practise this under exam conditions