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.
A = k*D^2; where k is the constant of variation
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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 = {{{200/36}}}
k ~ 5.56
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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