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Volume and Surface Area of Spherical Segment


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Raduses of bases

a = , b =

Height

h =

Radius of sphere

R = ((ab)2 + h2)·((a + b)2 + h2)/(2·h)

Volume

V = π·h/6·(3·a2 + 3·b2 + h2)

Area of side surface

So = 2·π·R·h

Base areas

A = π·a2

B = π·b2

Total surface area

S = So + A + B


Substitute