SOLUTION: I keep getting the incorrect answer for this problem of 7.60 ft Can you help me? Grain is falling from a chute onto the ground, forming a conical pile whose diameter is always t

Algebra ->  Equations -> SOLUTION: I keep getting the incorrect answer for this problem of 7.60 ft Can you help me? Grain is falling from a chute onto the ground, forming a conical pile whose diameter is always t      Log On


   



Question 196581: I keep getting the incorrect answer for this problem of 7.60 ft Can you help me?
Grain is falling from a chute onto the ground, forming a conical pile whose diameter is always three times its height. How high is the pile (to the nearest hundredth of a foot) when it contains 1030 ft^3 of grain?
thanks!

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Grain is falling from a chute onto the ground, forming a conical pile whose diameter is always three times its height. How high is the pile (to the nearest hundredth of a foot) when it contains 1030 ft^3 of grain?
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V=+pi%2Ar%5E2h%2F3
d = 3h --> r = 1.5h
1030+=+pi%2A%281.5h%29%5E2h%2F3
3090+=+pi%2A2.25h%5E2%2Ah
h%5E3+=+3090%2F%284.5%2Api%29
h = ~ 6.02 feet