A Cooling Water Tower Is in Need of a Larger

A cooling water tower is in need of a larger ball float to shut off the inlet water when the tank is full. The present float is 6-inches in diameter and exerts 16-pounds of force. Calculations show that a ball having twice the volume would provide the necessary force. What is the diameter of the new float? Round your answer to the nearest hundredth.

A) 7.56 in.
B) 20.2 in.
C) 8.49 in.
D) 6 in.
E) 12 in.