Two Cylinders Dimensions with Equal Volume Calculator

Select Answer Mode⇅
Vcyl1 = Vcyl2	Lcyl1 øcyl1 Lcyl2 øcyl2
Cylinder 1	Lcyl1 øcyl1 Vcyl1
Cylinder 2	Lcyl2 øcyl2 Vcyl2
Set Units Shortcut	mm cm m in ft

Calculate Cylinder 1 & 2 Dimensions⇅
Length of Cylinder 1 [?]
⟳ 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 1 [?]
⟳ 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)
Length of Cylinder 2 [?]
⟳ 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 2 [?]
⟳ 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)

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User Guide

This tool will calculate the measurement of a selected dimension for one of the two cylinders, which is necessary to ensure both cylinders have the same volume.

Use this tool to calculate the dimensions of a two cylinders whilst maintaining an equal storage volume.

Determine the dimensions of two different cylindrical storage tanks which will hold the same capacity of fluid

Experiment with different dimensions for each cylindrical shaped object whilst maintaining an equal volume for both.

Formulas

The formulas used by this two cylinders dimensions with equal volume calculator to determine each individual parameter is as follows:

Same Volume Mode (V_cyl1 = V_cyl2)

L_cyl1 = L_cyl2 · 4 · π · ø_cyl2² / (4 · π · ø_cyl1²) = L_cyl2 · ø_cyl2² / ø_cyl1²

ø_cyl1 = √(L_cyl2 · 4 · π · ø_cyl2² / (4 · π · L_cyl1)) = √(ø_cyl2² · L_cyl2 / L_cyl1)

L_cyl2 = L_cyl1 · 4 · π · ø_cyl1² / (4 · π · ø_cyl2²) = L_cyl1 · ø_cyl1² / ø_cyl2²

ø_cyl2 = √(L_cyl1 · 4 · π · ø_cyl1² / (4 · π · L_cyl2)) = √(ø_cyl1² · L_cyl1 / L_cyl2)

Cylinder 1 Mode

L_cyl1 = 4 · V / π · ø_cyl1²

ø_cyl1 = 2 · √(V / (L_cyl1 · π))

V = L_cyl1 · π · ø_cyl1² / 4

Cylinder 2 Mode

L_cyl2 = 4 · V / π · ø_cyl2²

ø_cyl2 = 2 · √(V / (L_cyl2 · π))

V = L_cyl2 · π · ø_cyl2² / 4

Symbols

• L_cyl1 = Length of cylinder 1
• ø_cyl1 = Diameter of cylinder 1
• L_cyl2= Length of cylinder 2
• ø_cyl2 = Diameter of cylinder 2
• V = Volume of cylinder 1 or cylinder 2

Parameters

Length of Cylinder 1

This is the length of the cylinder 1.

Diameter of Cylinder 1

This is the diameter of the cylinder 1.

Length of Cylinder 2

This is the length of the cylinder 2.

Diameter of Cylinder 2

This is the diameter of cylinder 2.

Volume

This is the volume of cylinder 1 or cylinder 2.