SOLUTION: When half filled, how many gallons of water are contained within 5000 ft of 16 inch diameter pipe?

Question 559452: When half filled, how many gallons of water are contained within 5000 ft of 16 inch diameter pipe?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the pipe makes a circular cylinder.
formula for the volume of a circular cylinder is:
v = pi * r^2 * h
h = 5000 feet = the length of the pipe which is equivalent to the height of a circular cylinder.
d = 16 inches = the diameter of the pipe
r = half the length of the diameter = 8 inches.
8 inches is equivalent to 8/12 = 2/3 of a foot.
the volume of the pipe is equal to:
pi * (2/3)^2 * 5000 cubic feet.
the volume of the pipe is equal to 6981.317008 cubic feet.
volume of half the pipe is equal to 3490.658504 cubic feet.
the number of gallons of water in a cubic foot is 7.480519481.
the number of gallons of water in a half filled pipe is therefore equal to 26111.93894 gallons which can be rounded to 26112 gallons.

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