Chapter 8 Rational Functions - 8.3 Graph General Rational Functions - 8.3 Exercises - Problem Solving - Page 571: 36c

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Graph the function $V=\pi r^2(\frac{100-2\pi r^2}{2\pi r +\pi}-2)$ We can see that the maximum volume is $r=1.785$. Substituting this in the equation we found from part a, we found $h=\frac{100-2\pi (1.785)^2}{2\pi (1.785) +\pi}\approx5.57$