Area of Lateral Surface of Cylinder

Theorem

The area $S_C$ of the lateral surface of a cylinder $C$ whose base is of area $A$ and whose height is $h$ is given by:

$S_C = s p$

where:

$p$ is the perimeter of a cross-section of $C$ at right angles to the generatrices

$s$ is the slant height of $C$.

Proof

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Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): cylinder
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): cylinder