Sphere Calculation
Online calculator and formulas for calculating a sphere
This online calculator calculates 5 unknown values of a sphere using any known variable. One of the 5 properties can be specified as an argument: radius r, diameter d, surface area S, volume V or circumference P. The other 4 variables and the slice plane area A are displayed as the result of the calculation.
To calculate, select the property of the argument that you know from the menu and enter its value (10 is given as an example). Then click on the 'Calculate' button.
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Formulas for calculating a sphere
Radius (\(\small{r}\))
\(\displaystyle r=\frac{P}{2π}\)
Diameter (\(\small{d}\))
\(\displaystyle d=\frac{P}{π}\) \(\displaystyle \ \ \ =2· r\)
Perimeter (\(\small{P}\))
\(\displaystyle P=d·π\)
Surface (\(\small{S}\))
\(\displaystyle S=d^2·π\) \(\displaystyle\ \ \ =4· r^2·π\)
Slice plane
\(\displaystyle A=r^2·π\)
Volume (\(\small{V}\))
\(\displaystyle V=\frac{d^3·π}{6}\) \(\displaystyle \ \ \ =\frac{4· r^3·π}{3}\)
Round solids functions
Sphere • Spherical cap • Spherical sector • Spherical segment • Spherical ring • Spherical wedge • Spherical corner • Spheroid • Triaxial ellipsoid • Ellipsoid volume • Spherical shell • Solid angles • Torus • Spindle torus • Oloid • Elliptic Paraboloid
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