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
- Areas and volumes
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