Lateral Surface Area of Right Circular Cylinder

Theorem

Let $\CC$ be a right circular cylinder:

whose bases are circles of radius $r$

and

whose height is $h$.


The area $\AA$ of the lateral surface of $\CC$ is given by the formula:

$\AA = 2 \pi r h$


Proof


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Sources

  • 1968: Murray R. Spiegel: Mathematical Handbook of Formulas and Tables ... (previous) ... (next): $\S 4$: Geometric Formulas: Right Circular Cylinder of Radius $r$ and Height $h$: $4.32$
  • 2009: Murray R. Spiegel, Seymour Lipschutz and John Liu: Mathematical Handbook of Formulas and Tables (3rd ed.) ... (previous) ... (next): $\S 7$: Geometric Formulas: Right Circular Cylinder of Radius $r$ and Height $h$: $7.32.$
  • 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): Appendix $1$: Areas and volumes
  • 2021: Richard Earl and James Nicholson: The Concise Oxford Dictionary of Mathematics (6th ed.) ... (previous) ... (next): Appendix $1$: Areas and volumes
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