# Volume of a spheroidal cap Calculator

## Calculates the volume, base and surface area of a spheroidal cap given the semi-axes and height

semi-axis a
 symmetry axis
semi-axis c
 pole
height h
 ≦2c

volume V
base area B
surface area A
 exclude B
 $\normal Spheroidal\ cap\\\vspace{5}(1)\ volume:\hspace{50} V={\large\frac{\pi a^2h^2}{3c^2}}(3c-h)\\(2)\ base\ area:\hspace{30} B=\pi a^2(1-(1-{\large\frac{h}{c}})^2)\\(3)\ surface\ area:\hspace{10} e=\sqrt{1-{\large\frac{a^2}{c^2}}},\hspace{10} e_1=e({1-\large\frac{h}{c}})\\\hspace{20}A=\pi ac\left{{\large\frac{\sin^{\tiny -1}e-\sin^{\tiny -1}e_1}{e}}+{\large\frac{a}{c}}-({1-\large\frac{h}{c}})\sqrt{1-e_1^2}\right}\\$

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