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A capsule is a cylinder with hemispherical ends. Volume = πr²h + (4/3)πr³ where h is the cylindrical height and r is the radius. Surface area = 2πrh + 4πr² (cylinder lateral + full sphere surface).
Przewodnik krok po kroku
- 1Total length = h + 2r (cylindrical part plus two hemispheres)
- 2Volume = π r²(h + 4r/3)
- 3Surface area = 2πr(h + 2r)
- 4A capsule with h=0 is just a sphere
Rozwiązane przykłady
Wejście
r = 3 cm, h = 10 cm
Wynik
V = 395.84 cm³, SA = 301.59 cm²
π(9)(10 + 4) = 395.84
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