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Calculus/related rates cone problem

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I have a problem much like this one, that I am attempting to solve. I understand every step you have shown, although I am confused where pi went? It seems to vanish when you plug in r=__h!

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Questioner:   Jessica
Category:  Calculus
Private:  No
 
Subject:  related rates cone problem
Question:  I have a problem much like this one, that I am attempting to solve. I understand every step you have shown, although I am confused where pi went? It seems to vanish when you plug in r=__h!
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Hi, Jessica,

When you reach my age, you will understand how these things happen.  Of course, I just lost it there.

I have posted a correction to the solution.

I assume you mean the one at:

en.allexperts.com/q/Calculus-2063/2008/5/Related-Rates-54.htm

Thank you for pointing it out.

Calculus

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Paul Klarreich

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All topics in first-year calculus including infinite series, max-min and related rate problems. Also trigonometry and complex numbers, theory of equations, exponential and logarithmic functions. I can also try (but not guarantee) to answer questions on Analysis -- sequences, limits, continuity.

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I taught all mathematics subjects from elementary algebra to differential equations at a two-year college in New York City for 25 years.

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