My Math Forum function help needed.

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 May 13th, 2019, 01:50 AM #1 Newbie   Joined: May 2019 From: moscow Posts: 4 Thanks: 0 function help needed. Assuming the height of a cylinder is h and h depends on the radius r function $\displaystyle h(r)= 50/\pi*r^2$. Area of cylinder => $\displaystyle A(r,h)= 2*\pi*r^2+2*\pi*r*h.$ form a function $\displaystyle A(r)=A(r,h(r))$, which basically means that the area of cylinder depends on its radius. My answer to this is $\displaystyle 2*\pi*r^2+(100*\pi*r)/(\pi*r^2)$ and I've reduced it to $\displaystyle 2*\pi*r^2+(100)/(r)$. Is this the correct answer? Thanks in advance. Last edited by skipjack; May 13th, 2019 at 07:40 AM.
 May 13th, 2019, 01:56 AM #2 Math Team     Joined: Jul 2013 From: काठमाडौं, नेपाल Posts: 901 Thanks: 61 Math Focus: सामान्य गणित Seems correct Thanks from dbag123
May 13th, 2019, 05:28 AM   #3
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Quote:
 Originally Posted by MATHEMATICIAN Seems correct
thank you very much

 May 13th, 2019, 07:39 AM #4 Global Moderator   Joined: Dec 2006 Posts: 20,937 Thanks: 2210 Did you mean $\displaystyle h(r) = 50/\left(\pi*r^2\right)$ rather than $\displaystyle h(r) = 50/\pi*r^2$?
May 13th, 2019, 07:51 AM   #5
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Quote:
 Originally Posted by skipjack Did you mean $\displaystyle h(r) = 50/\left(\pi*r^2\right)$ rather than $\displaystyle h(r) = 50/\pi*r^2$?

the first one $\displaystyle 50/(pi*r^2)$

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