How Do I Correctly Rearrange Formulas Involving Pi and Exponents?

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SUMMARY

The discussion focuses on rearranging mathematical formulas involving Pi and exponents, specifically the volume formulas for a cone and a sphere. The correct rearrangements are identified as h = (3V)/(πr²) for the cone and π = (3V)/(4r³) for the sphere. The user initially misapplied the square root operation when attempting to isolate h. Additionally, the conversation highlights the use of LaTeX for formatting equations, which is recommended for clarity in mathematical expressions.

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  • Knowledge of Pi (π) as a mathematical constant
  • Basic proficiency in LaTeX for typesetting equations
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Dooga Blackrazor
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Hey I'm new to the forums. *Claps applauding himself* Anyway exams are coming with Math on Wednesday and I'm just going over stuff. My problem right now is with rearranging.

V = 1/3(pie)(r)^2h ; h

The 1/3 is a fraction multipled by pie *ed by r(squared) * h. Finding for H.

I came up with squareroot(3V/(pie)r = h
If tats correct I'm wondering why when removing the r^2 by using squareroot that it doesn't affect the rest of the equation on that side.

Next question:

V = 4/3(pie)r^3 ; pie

V / 4/3R^3 = pie (That is what I got)

Also I see people using some sort of program to write equations out is there anywhere to download this thing?

**EDIT** My apologies I just noticed the homework help zone after I posted lol.
 
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Thanks a lot :smile:

I wasn't thinking correctly. Previous questions he was getting us to remove squared things by squareroot. I was thinking it was supposed to be done in terms of eliminating the r^2 rather than just dividing by it. Silly me. :wink:
 

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