Lateral Surface Area of Circular Cylinder/Mistake

Source Work

2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.)

2021: Richard Earl and James Nicholson: The Concise Oxford Dictionary of Mathematics (6th ed.):

Appendix $1$:
Areas and volumes
Surface area of a *cylinder


Mistake

Curved surface area = $2 \pi r h$


Correction

$2 \pi r h$ is the area of the lateral surface of a right circular cylinder, presented earlier in the table.

For a general circular cylinder, the lateral surface area is given in Lateral Surface Area of Circular Cylinder as:

\(\ds \AA\) \(=\) \(\ds \dfrac {2 \pi r h} {\sin \theta}\)
\(\ds \) \(=\) \(\ds 2 \pi r h \cosec \theta\)

where $\theta$ is the inclination of the generatrices of $\CC$ to the base of $\CC$ is $\theta$.


Sources

  • 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