Cylinder and Sphere Dimensions with Same Volume Calculator

Calculate Cylinder & Sphere Dimensions
Select Answer Mode	Lcyl øcyl øsph V
Set Units Shortcut	mm cm m in ft
Length of Cylinder [?]
⟳ Select length unit millimetres (mm) centimetres (cm) inches (in) feet (ft) yards (yd) metres (m) quectometres (qm) rontometres (rm) yoctometres (ym) zeptometres (zm) attometres (am) femtometres (fm) picometres (pm) nanometres (nm) micrometres (µm) millimetres (mm) centimetres (cm) decimetres (dm) metres (m) decametres (dam) hectometres (hm) kilometres (km) megametres (Mm) gigametres (Gm) terametres (Tm) petametres (Pm) exametres (Em) zettametres (Zm) yottametres (Ym) ronnametres (Rm) quettametres (Qm) thousandths of an inch (thou) inches (in) feet (ft) yards (yd) miles (mi) nautical miles (nmi) astronomical units (au) light-years (ly) parsecs (pc) kiloparsecs (kpc) megaparsecs (Mpc) gigaparsecs (Gpc)
Diameter of Cylinder [?]
⟳ Select diameter unit millimetres (mm) centimetres (cm) inches (in) feet (ft) yards (yd) metres (m) quectometres (qm) rontometres (rm) yoctometres (ym) zeptometres (zm) attometres (am) femtometres (fm) picometres (pm) nanometres (nm) micrometres (µm) millimetres (mm) centimetres (cm) decimetres (dm) metres (m) decametres (dam) hectometres (hm) kilometres (km) megametres (Mm) gigametres (Gm) terametres (Tm) petametres (Pm) exametres (Em) zettametres (Zm) yottametres (Ym) ronnametres (Rm) quettametres (Qm) thousandths of an inch (thou) inches (in) feet (ft) yards (yd) miles (mi) nautical miles (nmi) astronomical units (au) light-years (ly) parsecs (pc) kiloparsecs (kpc) megaparsecs (Mpc) gigaparsecs (Gpc)
Diameter of Sphere [?]
⟳ Select diameter unit millimetres (mm) centimetres (cm) inches (in) feet (ft) yards (yd) metres (m) quectometres (qm) rontometres (rm) yoctometres (ym) zeptometres (zm) attometres (am) femtometres (fm) picometres (pm) nanometres (nm) micrometres (µm) millimetres (mm) centimetres (cm) decimetres (dm) metres (m) decametres (dam) hectometres (hm) kilometres (km) megametres (Mm) gigametres (Gm) terametres (Tm) petametres (Pm) exametres (Em) zettametres (Zm) yottametres (Ym) ronnametres (Rm) quettametres (Qm) thousandths of an inch (thou) inches (in) feet (ft) yards (yd) miles (mi) nautical miles (nmi) astronomical units (au) light-years (ly) parsecs (pc) kiloparsecs (kpc) megaparsecs (Mpc) gigaparsecs (Gpc)
Volume [?]
L m³ cm³ US gal ft³ in³ Select volume unit cu centimetres (cc, cm³) millilitres (mL) cu inches (in³) litres (L) gallons (gal, usa liq) gallons (gal, imp) cu feet (ft³) cu metres (m³) cu nanometres (nm³) cu micrometres (µm³) cu millimetres (mm³) cu centimetres (cc, cm³) millilitres (mL) teaspoons (tsp, metric) tablespoons (Tbsp, metric) cups (metric) litres (L) cu metres (m³) kilolitres (kL) megalitres (ML) cu kilometres (km³) cu thous (thou³) cu inches (in³) fluid ounces (fl oz, imp) pints (pt, imp) gallons (gal, imp) cu feet (ft³) cu yards (yd³) cu miles (mi³) cu nautical miles (nmi³) cu thous (thou³) teaspoons (tsp, usa) tablespoons (Tbsp, usa) cu inches (in³) fluid ounces (fl oz, usa) cups (usa) pints (pt, usa liq) gallons (gal, usa liq) cu feet (ft³) barrels (bbl, oil) cu yards (yd³) cu miles (mi³) cu nautical miles (nmi³) quectolitres (qL) rontolitres (rL) yoctolitres (yL) zeptolitres (zL) attolitres (aL) femtolitres (fL) picolitres (pL) nanolitres (nL) microlitres (µL) millilitres (mL) centilitres (cL) decilitres (dL) litres (L) decalitres (daL) hectolitres (hL) kilolitres (kL) megalitres (ML) gigalitres (GL) teralitres (TL) petalitres (PL) exalitres (EL) zettalitres (ZL) yottalitres (YL) ronnalitres (RL) quettalitres (QL) cu quectometres (qm³) cu rontometres (rm³) cu yoctometres (ym³) cu zeptometres (zm³) cu attometres (am³) cu femtometres (fm³) cu picometres (pm³) cu nanometres (nm³) cu micrometres (µm³) cu millimetres (mm³) cu centimetres (cm³) cu decimetres (dm³) cu metres (m³) cu decametres (dam³) cu hectometres (hm³) cu kilometres (km³) cu megametres (Mm³) cu gigametres (Gm³) cu terametres (Tm³) cu petametres (Pm³) cu exametres (Em³) cu zettametres (Zm³) cu yottametres (Ym³) cu ronnametres (Rm³) cu quettametres (Qm³) cu astronomical units (au³) cu light-years (ly³) cu parsecs (pc³) cu kiloparsecs (kpc³) cu megaparsecs (Mpc³) cu gigaparsecs (Gpc³)

Related Tools

• Box and Cylinder dimensions calculator
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User Guide

This tool will calculate the measurement of a selected dimension for one of the shapes, which is necessary to ensure a cylindrical and spherical shaped object have the same volume.

Experiment with different dimensions of each shape whilst maintaining an equal volume for both.

Formulas

The formulas used by this cylinder and sphere dimensions with same volume calculator, to determine each individual parameter, are as follows:

L_cyl = 2 · ø_sph³ / (3 · ø_cyl²)

ø_cyl = √(2 · ø_sph³ / (3 · L_cyl))

ø_sph = ∛(3 · L_cyl · ø_cyl²/ 2)

V = L_cyl · π · ø_cyl²/ 4
V = π · ø_sph³ / 6

Symbols

• L_cyl = Length of cylinder
• ø_cyl = Diameter of cylinder
• ø_sph = Diameter of sphere
• V = Volume of cylinder or sphere
• π = Pi = 3.14159…

Length of Cylinder

This is the length of the cylindrical shaped object.

Diameter of Cylinder

This is the diameter of the cylindrical shaped object.

Diameter of Sphere

This is the diameter of the spherical object.

Volume

This is the volume of the cylindrical or spherical shaped object. The volume will be calculated as soon as all the dimensions for either the cylinder or the sphere have been fully entered. If all dimension inputs have values, then the dimensions of the cylinder will be used to calculate the volume. If you would like to use the dimension for the sphere rather than the cylinder, simply clear one of the cylinder dimensions, and the tool will automatically allow the sphere diameter to be entered instead.