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

May 13th, 2019, 05:28 AM  #3 
Newbie Joined: May 2019 From: moscow Posts: 4 Thanks: 0  
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 
Newbie Joined: May 2019 From: moscow Posts: 4 Thanks: 0  

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