A cylindrical jar whose base has a radius 15 cm. is filled with water up to a height of 20 cm. A solid iron spherical ball of radius 10 cm is dropped in the jar to submerge completely in the water. Find the increase in the level of water?

The correct answer is: The increase in the level of water is 5.926 cm

Explanations:
Step 1 of 2:
The base radius and water level of a cylindrical jar are given by, r = 15 cm and  h = 20 cm, respectively.
The volume of the water without the iron ball =  cm³
The radius of a solid iron spherical ball is  R = 10 cm.
The volume of iron ball = volume of sphere  cm³
Let the rise in water level due to submerge of iron ball be x cm.
The volume of water with the iron ball = cm³
Step 2 of 2:
The problem is given by, according to the Archimedean principle,
Volume of water with iron ball – Volume of water without iron ball = volume of iron ball





Final Answer:
The increase in the level of water is 5.926 cm