# Volume of a partial sphere Calculator

## Calculates the volume and surface area of a partial sphere given the radius and height.

 radius of sphere r height h 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit radius of bottom c volume V surface area S exclude B base area B
 $\normal Partial\ sphere\\\vspace{5}(1)\ radius\ of\ bottom:\ c=\sqrt{h(2r-h)}\\\vspace{5}(2)\ volume:\hspace{50} V={\large\frac{\pi}{6}}h(3c^2+h^2)\\\vspace{2}(3)\ surface\ area:\hspace{10} S=\pi(c^2+h^2)=2\pi rh\\\hspace{210}exclude\ B\\\vspace{5}(4)\ base\ area:\hspace{35} B=\pi c^2\\$
Volume of a partial sphere
 [1-10] /61 Disp-Num5103050100200
[1]  2018/08/26 01:16   Male / 60 years old level or over / A retired person / Very /
Purpose of use
I am a woodturner. I wanted an approximate difference in volume of a bowl that was two inches larger than another bowl.
[2]  2018/08/08 23:40   Male / 60 years old level or over / An engineer / Very /
Purpose of use
Used to calculate submerged depth of a spherical float.
Comment/Request
Easy to use.
[3]  2018/07/27 08:24   Male / 60 years old level or over / An engineer / Very /
Purpose of use
calculate volume of nuclear reactor vessel head for a thermal fluid-hydraulics model (commercial simulation)
Comment/Request
Looks accurate to me.
[4]  2018/02/01 10:35   Male / 60 years old level or over / A retired people / Very /
Purpose of use
Calculate fill removed from excavation of a pond.
[5]  2017/11/03 14:03   Male / - / High-school/ University/ Grad student / Very /
Purpose of use
Maths Q (homework)
Comment/Request
Are you sure this is accurate I did the calculation using the formula and was pretty far off
[6]  2017/10/20 00:59   Male / 60 years old level or over / A retired people / Useful /
Purpose of use
Required to estimate when the bread dough in a bowl has doubled in volume
[7]  2017/09/16 06:28   Male / 60 years old level or over / An engineer / Very /
Purpose of use
Calculating the reverberation time of a truncated sphere
[8]  2017/09/07 20:07   Female / 40 years old level / A teacher / A researcher / Useful /
Purpose of use
Calculating number of square degrees on the sky above a certain declination
[9]  2017/09/03 00:58   Male / 60 years old level or over / A retired people / Useful /
Purpose of use
Calculate approximate volume of a bowl
[10]  2017/08/22 18:37   Male / 30 years old level / High-school/ University/ Grad student / Very /
Purpose of use
Calculate how high to fill a spherical gas tank to satisfy 85% volume.

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