SOLUTION: How many gallons of water are in a well that is 36 inches in diameter and 20 feet deep?

Question 162480: How many gallons of water are in a well that is 36 inches in diameter and 20 feet deep?
Found 2 solutions by nerdybill, ankor@dixie-net.com:
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
U.S. liquid gallon is legally defined as 231 cubic inches.
.
Convert the height to inches:
20 feet = 20*12= 240 inches
and,
since diameter = 36 inches:
radius = 1/2 (diameter) = 18 inches
.
area of bottom of well = (pi)r^2 = (pi)18^2 = 1017.87 square inches
volume = "area of bottom" * height = 1017.87 * 240 = 244290.24 cubic inches
.
# of gals in well = "volume of well"/"volume of 1 gal of water"
# of gals in well = 244290.24/231 = 1057.53 gallons

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
How many gallons of water are in a well that is 36 inches in diameter and 20 feet deep?
:
Change 36" diameter to 3 feet, radius will = 1.5 ft
:
Find the volume of a cylinder
V =
where: r=1.5, h= 20
V =
V = 141.37 cu/ft
:
1 cu/ft = 7.481 gallons
:
141.37 * 7.481 = 1057.6 gallons

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