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May 13th, 2019, 01:50 AM   #1
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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.
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May 13th, 2019, 01:56 AM   #2
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Seems correct
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May 13th, 2019, 05:28 AM   #3
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Quote:
Originally Posted by MATHEMATICIAN View Post
Seems correct
thank you very much
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May 13th, 2019, 07:39 AM   #4
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Did you mean $\displaystyle h(r) = 50/\left(\pi*r^2\right)$ rather than $\displaystyle h(r) = 50/\pi*r^2$?
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May 13th, 2019, 07:51 AM   #5
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Quote:
Originally Posted by skipjack View Post
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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