A cylindrical vessel of radius 4 cm contains water

• Mensuration

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

1. 4.5 cm
2. 2.25 cm
3. 2 cm
4. 1.5 cm

Answer

Increase in volume of cylinder = volume of sphere

Let increase in volume of cylinder be = πr²h, where r is its radius and h is its height.

So, 16πh = 4/3 π3³

h = 4/3 × 27/16

= 36/16

= 9/4 = 2.25 cm

The correct option is B.