There are approximately 7.5 gallons of water in 1 cubic foot. If a spherical water tank has a diameter of 24 feet, about how many gallons of water will it hold?

##54,286.88## gallon

Volume of a sphere is given by ##4/3pir^3##, where ##pi=3.1416##.

Hence spherical water tank will hold

##4/3xx3.1416xx(24/2)^3=4/3xx3.1416xx12xx12xx12## or

##4xx3.1416xx4xx12xx12=7238.25## cubic foot of water

or ##7238.25xx7.5=54,286.88## gallon