A cylindrical feed silo has a diameter of 45 feet and a height of 30 feet. What is the volume of the largest sphere that will it into the game

A) 10677.9 Ft^ 3

B) 14,237.2 Ft^3

C) 42,711.6 Ft^3

D) 47,712 Ft^3

The correct volume of the largest sphere that fits inside the silo is 14,137.2 ft³

Step-by-step explanation:

Since the sphere must feet inside the silo it's diameter must be at most 30 feet, therefore it's radius is 15 feet. To calculate the volume of the sphere we can use the appropriate formula:

Volume = (4/3) * pi*r³

Volume = (4/3) * 3.14 * (15) ³

Volume = 14137.2 ft³

The correct volume of the largest sphere that fits inside the silo is 14,137.2 ft³. The nearest option would be B.