Volume of a truncated spheroid
Calculate the volume, base area, and surface area of a truncated spheroid.
| Volume V | |
| Base Area B | |
| Surface Area A | Excludes base area B |
| \(\normalsize Spheroidal\ cap\\ (1)\ volume:\hspace{50px} V={\large\frac{\pi a^2h^2}{3c^2}}(3c-h)\\ (2)\ base\ area:\hspace{30px} B=\pi a^2(1-(1-{\large\frac{h}{c}})^2)\\ (3)\ surface\ area:\hspace{10px} e=\sqrt{1-{\large\frac{a^2}{c^2}}},\hspace{10px} e_1=e({1-\large\frac{h}{c}})\\ \hspace{20px}A=\pi ac\left\{{\large\frac{\sin^{\tiny -1}e-\sin^{\tiny -1}e_1}{e}}\ \ \ +{\large\frac{a}{c}}-({1-\large\frac{h}{c}})\sqrt{1-e_1^2}\right\}\\ \) |
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