Physics 1 related rates homework question.

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Homework Help Overview

The problem involves related rates in the context of a bottle with varying diameters being filled with shampoo at a constant rate. The original poster seeks to determine the rate at which the liquid level rises at two specific diameters of the bottle.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster expresses confusion regarding the varying diameters and the lack of height information, indicating a need for clarification on how to approach the problem. Some participants suggest simplifying the problem by treating the bottle as a cylinder for each diameter.

Discussion Status

Participants are exploring different interpretations of the problem, with some suggesting a simplified approach to answer the questions. There is no explicit consensus on how to proceed, but guidance has been offered to consider the bottle as a cylinder for the calculations.

Contextual Notes

The original poster notes that no height was given for the problem, which may affect the calculations. The varying diameters of the bottle are also a point of discussion.

fletchea
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A child loves to watch as you fill a transparent plastic bottle with shampoo. Every horizontal cross section of the bottle is circular, but the diameters of the circles have different values. You pour the brightly colored shampoo into the bottle at a constant rate of 17.0 cm3/s.

At what rate is its level in the bottle rising at a point where the diameter of the bottle is = 6.80 cm?

At what rate is its level in the bottle rising at a point where the diameter of the bottle is = 1.39 cm?

no height was given for the problem. I would show attempts at solving but I am pretty lost on the whole thing. any help would be appreciated.
 
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welcome to pf!

hi fletchea! welcome to pf! :smile:

forget the varying diameter, just answer the question as if the bottle was an ordinary cylinder with diameter 6.80 cm :wink:
 
tiny-tim's answer is for the first question, of course. For the second question treat as a cylinder of diameter 1.39 cm.
 
HallsofIvy said:
tiny-tim's answer is for the first question, of course. For the second question treat as a cylinder of diameter 1.39 cm.

awww … you're making it too easy! :biggrin:
 

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