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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Pro Tip
A capsule volume equals a cylinder plus a sphere of the same radius. Calculate them separately and add.
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Did You Know?
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.
References
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