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Capsule Calculator

Volume, surface area of capsules

Cylinder Calculator

V = πr²h | SA = 2πr(r + h)

r =
h =

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).

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Tip: A capsule volume equals a cylinder plus a sphere of the same radius. Calculate them separately and add.

  1. 1Total length = h + 2r (cylindrical part plus two hemispheres)
  2. 2Volume = π r²(h + 4r/3)
  3. 3Surface area = 2πr(h + 2r)
  4. 4A capsule with h=0 is just a sphere
r = 3 cm, h = 10 cm=V = 395.84 cm³, SA = 301.59 cm²π(9)(10 + 4) = 395.84
ShapeVolumeSurface Area
Cylinder (r, h)πr²h2πr(r+h)
Sphere (r)(4/3)πr³4πr²
Capsule (r, h)πr²h + (4/3)πr³2πrh + 4πr²

Fun Fact

Capsule shapes (stadium shapes in 2D) are used for racetracks, pharmaceutical pill shapes, and spacecraft reentry vehicles — the rounded ends reduce stress concentration compared to sharp edges.

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