# 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 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit volume V base area B surface area A exclude B
 $\normal Spheroidal\ cap\\\vspace{5}(1)\ volume:\hspace{50} V={\large\frac{\pi a^2h^2}{3c^2}}(3c-h)\\(2)\ base\ area:\hspace{30} B=\pi a^2(1-(1-{\large\frac{h}{c}})^2)\\(3)\ surface\ area:\hspace{10} e=\sqrt{1-{\large\frac{a^2}{c^2}}},\hspace{10} e_1=e({1-\large\frac{h}{c}})\\\hspace{20}A=\pi ac\left{{\large\frac{\sin^{\tiny -1}e-\sin^{\tiny -1}e_1}{e}}+{\large\frac{a}{c}}-({1-\large\frac{h}{c}})\sqrt{1-e_1^2}\right}\\$

Volume of a spheroidal cap
 [1-6] /6 Disp-Num5103050100200
[1]  2018/12/27 11:51   Female / 20 years old level / High-school/ University/ Grad student / Very /
Purpose of use
I am doing some research about the geometry. I hope to calculate the volume and surface by calculus and have clear process during the calculation.
Comment/Request
I am confused about the value of a and c. Do I need to use confined a<c when I want to calculate the surface area for the spherical cap?
[2]  2017/06/18 07:31   - / 60 years old level or over / An engineer / Very /
Purpose of use
Calculate assumed acoustic wave Isophase surface area in an oblate spheroidal horn.
[3]  2014/11/21 01:13   Male / 50 years old level / An engineer / Very /
Purpose of use
Help to determine total volume of a tank
[4]  2013/08/29 12:40   Male / 60 years old level or over / High-school/ University/ Grad student / Very /
Purpose of use
Volume calulation of an odd shaped bridge pier headstock, for weight calulation purposes.
[5]  2013/07/29 15:26   Female / Under 20 years old / A housewife / Very /
Purpose of use
exercise
[6]  2013/02/25 18:19   Female / 30 years old level / Others / Very /
Comment/Request
Please include formula for torispherical dished ends.

Sending completion

To improve this 'Volume of a spheroidal cap Calculator', please fill in questionnaire.
Male or Female ?
Age

Occupation

Useful?

Purpose of use?