# Chapter 8 Rational Functions - 8.3 Graph General Rational Functions - 8.3 Exercises - Problem Solving - Page 569: 31b

$2r^2\pi+2\frac{100}{r}$

#### Work Step by Step

We know that the surface of a cylinder can be obtained by: $S=2r^2\pi+2\pi rl$, from part a): $l=\frac{100}{r^2\pi}$, hence: $S=2r^2\pi+2\pi r\frac{100}{r^2\pi}=2r^2\pi+2\frac{100}{r}$

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