Q:

The Great Blue Hole is a cylindrical trench located off the coast of Belize. It is approximately 1000 feet wide and 400 feet deep. About how many gallons of water does the Great Blue Hole contain? Round your answer to the nearest ten million gallons. (1 ft3β‰ˆ7.48 gallons)

Accepted Solution

A:
The Great Blue Hole is a cylindrical trench located off the coast of Belize. It is approximately 1000 feet wide and 400 feet deep.To find amount of gallons the Great Blue Hole contain we need to find the volume. [tex] Volume of cylinder = \pi r^2h [/tex]Where 'r' is the radius and 'h' is the height.Given : 1000 feet wide so radius = [tex] \frac{1000}{2} = 500 [/tex]r = 500 and h= 400 [tex] Volume of cylinder = \pi r^2h [/tex]Plug in all the values [tex] Volume of cylinder = \pi (500)^2(400) [/tex] = 314159265.4 [tex] ft^3 [/tex]The units are in feet . convert it into gallons[tex] 1 ft^3=7.48 gallons [/tex]So [tex] 314159265.4 = 314159265.4 * 7.48= 2,349,911,305 [/tex]Volume of cylinder = 2,349,911,305 gallons