SOLUTION: a. the amount of water (A) emptied by a pipe varies directly as the square of the diameter (D). write the variation problem. b. for a certain constant water flow, a pipe emptying

Question 366105: a. the amount of water (A) emptied by a pipe varies directly as the square of the diameter (D). write the variation problem.
b. for a certain constant water flow, a pipe emptying into a canal will allow 200 gal of water to escape in an hour through a pipe with a diameter of 6 in. find the constant (k) of variation.
c. how much water would a pipe with a diameter of 12in empty into the canal in a an hour?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
a. the amount of water (A) emptied by a pipe varies directly as the square of the diameter (D).
write the variation problem.
A = k*D^2; where k is the constant of variation
:
b. for a certain constant water flow, a pipe emptying into a canal will allow
200 gal of water to escape in an hour through a pipe with a diameter of 6 in.
find the constant (k) of variation.
6^2*k = 200
36k = 200
k =
k ~ 5.56
:
c. how much water would a pipe with a diameter of 12in empty into the canal in a an hour?
A = 5.56*12^2
A = 5.56*144
A ~ 800 gal
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