A cylindrical vessel of diameter 32cm is partially filled with water. A solid metallic sphere of radius 12cm is dropped into it. What will be the increase in the level of water in the vessel (in cm)?
B
Correct answer
Explanation
The increase in water level equals the volume of the sphere divided by the base area of the cylinder. Volume of sphere = (4/3)π(12)³ = 2304π. Cylinder radius = 16cm, so base area = π(16)² = 256π. Height increase = 2304π/256π = 9cm. This is a direct application of volume conservation principle.