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9.3

the spherical vacuole problem again

Asked by andieje in Math & Science

Hello

I recently asked this question which was solved very clearly for me (many thanks)

A spherical vacuole (something in a cell) is decreasing in size so that its volume decreases at a constant rate of 100 cubic micrometres per seconds. At what rate is the radius decreasing at the instant when the radius of 5 micrometre.

The answer is  1/pi. This was solved using the approach

dV/dt = dV/dr * dr/dt

I got the question wrong because i tried to solve it this way and got myself lost because it is a much more complicated route

 dr/dt = dr/dv * dv/dt

As a matter of curiosity, I would be very grateful if someone could show me how you reach the correct answer from this route. Sometimes it really helps our understanding if you see the same answer reached from different directions.

Many thanks
[+][-]10/04/09 05:54 AM, ID: 25489057Accepted Solution

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Zone: Math & Science
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Solution Provided By: InteractiveMind
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Solution Grade: A
 
 
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