Troubleshooting Leaking Water: Expert Tips to Solve the Problem

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Homework Help Overview

The discussion revolves around troubleshooting a water leakage problem, likely involving fluid dynamics or related principles. Participants are attempting to analyze the situation based on given parameters, including the water level in a tank.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants are discussing the importance of the water level in the tank and how it affects calculations. There is an attempt to express the rate of change in terms of the water level, L, and some mathematical expressions are being derived.

Discussion Status

Some guidance has been offered regarding the expression of the volume in terms of the water level. There appears to be a collaborative effort to verify the mathematical approach taken by one participant, although no consensus on the correctness of the final expression has been reached.

Contextual Notes

There is a noted absence of specific information regarding the water level in the tank, which is affecting the discussion. Participants are working with assumptions based on the problem setup.

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I'm stuck please help me... thanks
 
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Didn't they also give you the water level in the tank? I think you need that as well.
 
no, they didn't :(
 
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?
 
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?
 
Looks fine to me.
 

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