Geometry

Question Analysis
This question is a real - world - application problem that requires understanding the relationship between the volume of a sphere and the displacement of water in a cylindrical tank.
The main focus is on calculating the volume of the sphere, as the volume of the overflowing water is equal to the volume of the sphere dropped into the tank.

Key Concept Explanation
When an object is submerged in a liquid - filled container, the volume of the liquid that overflows is equal to the volume of the object.
The volume formula for a sphere is , and we use this formula to find the volume of the ball, which is the volume of the overflowing water.

Step-by-Step Solution
Given the radius of the ball r = 7 cm.
Use the volume formula for a sphere  .
Substitute r = 7 cm into the formula:  

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