A technician is inspecting a fire sprinkler system. The water tank is spherical with a diameter of 5.5 feet. How much water does the tank hold ? (One cubic foot is about 7.48 gallons. Use 3.14 for pi)

Answer 1

The radius of the water tank is half of the diameter, so the radius is 5.5 ft / 2 = <<5.5/2=2.75>>2.75 ft.
The formula for the volume of a sphere is volume = (4/3) * pi * radius^3.
Using the given value of pi as 3.14, the volume of the water tank is (4/3) * 3.14 * 2.75^3 = 79.5635 cubic feet.
To convert to gallons, multiply by 7.48: 79.5635 cubic feet * 7.48 gallons/cubic foot = 594.43222 gallons.
Therefore, the water tank holds approximately 594 gallons.