Water leaking from unknown source

chemic_23 · Feb 26, 2009

Handwritten calculus solution on pink paper: problem about water leaking from a conical tank, with diagrams of the cone, rate equations dV/dt = R - 0.5 and dh/dt = 1.5, and algebra substituting r = 3h/2 to find R.

I'm stuck please help me... thanks

Dick · Feb 26, 2009

Didn't they also give you the water level in the tank? I think you need that as well.

chemic_23 · Feb 26, 2009

no, they didn't :(

Dick · Feb 26, 2009

It isn't labelled in a diagram or anything? Their mistake, I think. Then suppose the water level of the tank is L above the vertex (you can plug in the number for L later). Can you express the rate in terms of L?

chemic_23 · Feb 26, 2009

v=1/3 pi r^2h

substitute r= 3h/2

V= (3pi h^3)/4

d/dt ( V = (3pi h^3) / 4 )

R= (27pi/8)h^2 + 0.5

is this right?

Dick · Feb 26, 2009

Looks fine to me.

Water leaking from unknown source

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