# Volume of an ellipsoidal cap Calculator

## Calculates the volume, base and surface area of an ellipsoidal cap given the semi-axes and height.

 semi-axis a semi-axis b semi-axis c height h ≦2c 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit volume V base area B surface area A exclude B
 $\normal Ellipsoidal\ cap\\\vspace{5}(1)\ volume:\hspace{50} V={\large\frac{\pi ab}{3c^2}}h^2(3c-h)\\(2)\ base\ area:\hspace{30} B={\large\frac{\pi ab}{c^2}}h(2c-h)\\$

Volume of an ellipsoidal cap
 [1-10] /19 Disp-Num5103050100200
[1]  2018/02/17 23:27   Male / 50 years old level / High-school/ University/ Grad student / Very /
Purpose of use
I am a pharmacist, I use it to calculate the volume of anoblong tablet
[2]  2017/09/10 06:11   Male / 40 years old level / An engineer / A little /
Comment/Request
what is " c " represent????
[3]  2017/04/11 16:14   Male / 50 years old level / An engineer / Very /
Purpose of use
I have question.
Suppose you have two case for volume of an ellipsoidal cap.
In the first case with a=2, b=3, c=4 and h=6 then volume will be 84.82
In the second case with a=2, b=3, c=5 and h=6 then volume will be 81.42
why when we increase the amount c then volume decrease?
from Keisan
Volume of an ellipsoidal cap Calculator is expressed as pi*a*b/(3*c^2) * h^2*(3*c-h).
So, in your case, increasing the amount c, the volume decreases because of divided by [c^2].
[4]  2017/04/11 15:44   Male / 50 years old level / An engineer / Very /
Purpose of use
I,m chemical engineer and i need to know level calculation.
Thank you for your site and it,s information.
It,s very very ... good.
[5]  2016/10/28 23:54   Male / 40 years old level / A teacher / A researcher / A little /
Purpose of use
Determining the probability of collision of objects in orbit.
Comment/Request
I want to determine the area of the base of the cap if the slice is not orthogonal to the longitudinal axis "c".
[6]  2016/06/12 04:11   Male / 50 years old level / Others / Very /
Purpose of use
I needed to calculate the volume of a slice of watermelon for the purpose of recording my fluid intake. Now, I just need to convert cubic inches into milileters. :D
Comment/Request
Thank you.
[7]  2015/07/19 06:09   Male / 60 years old level or over / A teacher / A researcher / Very /
Purpose of use
education
Comment/Request
What is the formula for the surface area of an ellipsoid cap?
[8]  2015/06/18 08:56   Male / 50 years old level / A teacher / A researcher / Very /
Purpose of use
To work out the average air velocity below an agricultural spray nozzle from passes on a line through the spray fan in both directions of the spray fan which is elliptical in shape and as the velocity varies as like an ellipoidal cap the above formula is very good. I did a quick check and it goes to the spherical cap formula using a = b= c = radius
[9]  2015/06/18 06:31   Male / 50 years old level / Self-employed people / Very /
Purpose of use
To do an estimate of the over all flux from an agricultural spray nozzle from measurements of flux along line sections through the spray. As a quick part check of the formula I worked through the case for a spheriod and the formula gives the correct answer.
[10]  2015/05/08 21:53   Male / 60 years old level or over / A retired people / Useful /
Purpose of use
As a contact lens practitioner I inserted CL on to the front surface of the eyes.
The elliptical cap is compareble with the shape of the human cornea.
I missed the formular for the surface area calculation.
Thank you very much for your help.
Best regards, Diethard Fedtke
Comment/Request
in my opinion the calculation result is wrong. instead of 266.180207 mm2 the table shows 260.155287 mm2 for base area.
The ellipsoidal cap has the following parameters: a = 9.17986928 b = 9.17986928 c = 10.6 h = 9.204770032

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