- #31
Darkiekurdo
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You're right.Dick said:
Thanks a lot though! I know sometimes I look a little bit stupid but I hope that's the age.
Calculating Water Flow Rate in Sloped Reservoir | Simple Calculus Question
- Thread starter Darkiekurdo
- Start date
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- Tags
- Calculus
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Homework Help Overview
The problem involves calculating the rate at which the surface of water is rising in a reservoir with a square cross-section that slopes at a 45-degree angle. The dimensions of the reservoir and the rate of water flow are given, and the original poster seeks to derive an expression for the rising water level based on these parameters.
Discussion Character
- Exploratory, Conceptual clarification, Mathematical reasoning, Problem interpretation
Approaches and Questions Raised
- Participants discuss the shape of the reservoir, identifying it as a truncated pyramid. They explore the volume formula and its application to the problem, questioning how to express volume in terms of height and base dimensions.
Discussion Status
The discussion has progressed through various interpretations of the problem, with participants offering guidance on deriving the volume expression and considering the relationship between volume, height, and time. There is an ongoing exploration of differentiation to find the rate of change of height with respect to time.
Contextual Notes
Some participants express uncertainty about the mathematical concepts involved, indicating varying levels of familiarity with related rate problems. The original poster has not provided specific equations, leading to a reliance on collaborative reasoning to navigate the problem.
Thanks a lot though! I know sometimes I look a little bit stupid but I hope that's the age.