Paano Kalkulahin si Cylindrical Shell
Ano ang Cylindrical Shell?
Calculates cylindrical shell volume using disk/washer integration method. Hollow cylinder between two radii.
Pormula
Volume = 2π ∫ x × f(x) dx (shell method)
Step-by-Step na Gabay
- 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
Mga Nalutas na Halimbawa
Input
R=5, r=3, h=10
Resulta
V 502.7
Mga Karaniwang Mali na Dapat Iwasan
- ✕Using total height instead of incremental; integration is key
- ✕Forgetting both curved and flat surfaces in total surface area
Mga madalas itanong
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.
Handa nang kalkulahin? Subukan ang libreng Cylindrical Shell Calculator
Subukan ito sa iyong sarili →