# Volume of an ellipsoid

## Calculates the volume and surface area of an ellipsoid given the semi-axes.

 semi-axis a semi-axis b semi-axis c 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit volume V surface area S
 $\normal Ellipsoid\\(1)\ volume:\hspace{45} V={\large\frac{4}{3}}\pi abc\\(2)\ surface\ area:\\\hspace{30} S=2\pi\left(c^2+abxE(x,k)+{\large\frac{bc^2}{ax}}F(x,k)\right)\\\hspace{30} x=\sqrt{1-{\large\frac{c^2}{a^2}}}\ ,\hspace{10}k={\large\frac{\sqrt{1-{\large\frac{c^2}{b^2}}}}{x}},\hspace{10}a\ge b\ge c\\[10]F(x,k)\ 1st\ incomplete\ elliptic\ integral\\E(x,k)\ 2{\small nd}\ incomplete\ elliptic\ integral\\$
Volume of an ellipsoid
 [1-10] /42 Disp-Num5103050100200
[1]  2018/10/31 03:54   Male / Under 20 years old / High-school/ University/ Grad student / Useful /
Purpose of use
Finding the volume of a epsiloid to find the amount of helium I needed to make a large scale RC Blimp
[2]  2018/09/24 06:13   Male / 50 years old level / Others / Useful /
Purpose of use
Mathematics and Astronomy Research
[3]  2018/09/12 22:28   Male / 40 years old level / Self-employed people / Very /
Purpose of use
to calculate the volume of a liver abscess
[4]  2018/05/17 20:21   Male / Under 20 years old / High-school/ University/ Grad student / Very /
Purpose of use
Checking the results of a calculator that uses the Monte Carlo approximation method
[5]  2018/03/15 14:20   Male / 30 years old level / An engineer / Useful /
Purpose of use
Calculating the volume of an egg shaped boulder to estimate powder factor for blasting.
[6]  2018/02/01 06:55   Male / 30 years old level / An engineer / Very /
Purpose of use
To calculate the volume of my girlfriends head
Comment/Request
Worked a treat!
[7]  2017/12/06 02:05   Male / Under 20 years old / High-school/ University/ Grad student / Very /
Purpose of use
Calculating volume of a planet that isn''t fully round
[8]  2017/08/04 03:11   Male / 60 years old level or over / Self-employed people / Very /
Purpose of use
Calculate volume of dry sub slab it to be used to calculate a pressure field extension for radon sub slab depressurization model
[9]  2017/07/21 18:39   Male / 60 years old level or over / A retired people / Very /
Purpose of use
Calculate the volume of a spinal cord cyst on an MR scan
[10]  2017/07/13 12:25   Male / 40 years old level / Self-employed people / Useful /
Purpose of use
Calculating weight of egg shaped boulder
Comment/Request
Could barely lift boulder with tractor loader forks. Lift capacity spec is 1200lb. Calculation estimates boulder weight at 1312lb.

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