Finding volume of Square pyramid

AI Thread Summary
The volume of a square pyramid is calculated using the formula V = (1/3) * a^2 * h. A user expresses uncertainty about their solution and seeks confirmation on their calculation. They mention obtaining a volume of 72.92, which they round to 73 cm. Another participant confirms that the calculation method is correct. The discussion emphasizes the importance of understanding the formula and rounding in mathematical solutions.
Kirito123
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Homework Statement


upload_2016-7-29_19-49-13.png


Homework Equations


V= a21/3 h

The Attempt at a Solution


upload_2016-7-29_19-48-25.png

I may be wrong or right I don't know. I'm pretty sure I did it right.
 
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What is 72.92 rounded to two significant digits?
 
O its 73cm my bad
 
other then that is the way i did it correct?
 
Yes.
 
Ok thank you.
 
I tried to combine those 2 formulas but it didn't work. I tried using another case where there are 2 red balls and 2 blue balls only so when combining the formula I got ##\frac{(4-1)!}{2!2!}=\frac{3}{2}## which does not make sense. Is there any formula to calculate cyclic permutation of identical objects or I have to do it by listing all the possibilities? Thanks
Since ##px^9+q## is the factor, then ##x^9=\frac{-q}{p}## will be one of the roots. Let ##f(x)=27x^{18}+bx^9+70##, then: $$27\left(\frac{-q}{p}\right)^2+b\left(\frac{-q}{p}\right)+70=0$$ $$b=27 \frac{q}{p}+70 \frac{p}{q}$$ $$b=\frac{27q^2+70p^2}{pq}$$ From this expression, it looks like there is no greatest value of ##b## because increasing the value of ##p## and ##q## will also increase the value of ##b##. How to find the greatest value of ##b##? Thanks
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