Answer:
Step-by-step explanation:
Lets first calculate the total volume of the tub. Volume of a cylinder is:
Vol = [tex]\pi r^{2} h[/tex]
The radius is 25 ft/2 = 12.5 feet
The height is (52 inches)*(1 foot/12 inches) = 4 1/3 feet
Vol = (3.14)(12.5 ft)^2 * (4 1/3 ft)
Vol = 2,127.1 ft^3
We want to fill this 3/4 full with water. That would require (3/4)*(2127.1) or 1,595.3 ft^3 of water.
A conversion factor is needed to convert ft^3 to gallons. By definition, 1 U.S. liquid gallon = 0.134 cubic feet. We can write this as (1 gal/0.134 ft^3).
(1,595.3 ft^3)*(1 gal/0.134 ft^3)) = 11,905 gallons
