- #1
catch.yossarian
- 19
- 0
Hi guys, I'm completely stuck here when doing related rates questions. Here is the question, and following the setup I have so far.
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Water is leaking out of an inverted conical tank
at a rate of 10,00cm^3/min at the same time that water is
being pumped into the tank at a constant rate. The tank has
height 6m and diameter at top is 4m. IF the water level is
rising at a rate of 20cm/min when the height of water is
2m, find teh rate at which water is being pumped into the
tank.
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d = 4m
h = 6m
2m = 20cm/min.
v = (1/3) (pi) r^2 h
dl/dt = 10,000cm^3/min (rate at which water leaves cone)
dp/dt = ? (rate at which water is being pumped into cone)
thats really all I have. I don't know where to go after that. Any help is appreciated.
--------------------------------------------------------------------------------------------------------------------------------
Water is leaking out of an inverted conical tank
at a rate of 10,00cm^3/min at the same time that water is
being pumped into the tank at a constant rate. The tank has
height 6m and diameter at top is 4m. IF the water level is
rising at a rate of 20cm/min when the height of water is
2m, find teh rate at which water is being pumped into the
tank.
------------------
d = 4m
h = 6m
2m = 20cm/min.
v = (1/3) (pi) r^2 h
dl/dt = 10,000cm^3/min (rate at which water leaves cone)
dp/dt = ? (rate at which water is being pumped into cone)
thats really all I have. I don't know where to go after that. Any help is appreciated.