A(z) Cylindrical Shell kiszámítása
Mi az a Cylindrical Shell?
Calculates cylindrical shell volume using disk/washer integration method. Hollow cylinder between two radii.
Képlet
Volume = 2π ∫ x × f(x) dx (shell method)
Útmutató lépésről lépésre
- 1Volume = 2π ∫ x × f(x) dx (shell method)
- 2Or Volume = π(R² - r²) × h where R = outer, r = inner, h = height
- 3Surface area = 2πRh + 2πrh + 2π(R² - r²)
- 4Thickness = R - r
Worked Examples
Bemenet
R=5, r=3, h=10
Eredmény
V 502.7
Common Mistakes to Avoid
- ✕Using total height instead of incremental; integration is key
- ✕Forgetting both curved and flat surfaces in total surface area
Frequently Asked Questions
What practical examples are cylindrical shells?
Pipes, tubing, hollow cylinders, insulation layers on pipes.
Why use shell method vs. disk method?
Shell method easier when axis is axis of symmetry; disk method when perpendicular.
Készen állsz a számításra? Próbálja ki az ingyenes Cylindrical Shell számológépet
Próbáld ki te is →