Question

How much water in gallons do you need to fill a tub 3/4 of the way up that has a diameter of 25 feet and a height of 52 inches

Answer 1

68 gallons……….
Báchese yes

Answer 2

Explanation:

Lets first calculate the total volume of the tub. Volume of a cylinder is:

Vol =
`\pi r^(2) h`

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