Cara Menghitung Cylindrical Shell
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Calculates cylindrical shell volume using disk/washer integration method. Hollow cylinder between two radii.
Rumus
Volume = 2π ∫ x × f(x) dx (shell method)
Panduan Langkah demi Langkah
- 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
Contoh Terpecahkan
Masukan
R=5, r=3, h=10
Hasil
V 502.7
Kesalahan Umum yang Harus Dihindari
- ✕Using total height instead of incremental; integration is key
- ✕Forgetting both curved and flat surfaces in total surface area
Pertanyaan yang sering diajukan
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.
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