Select Answer Mode | |
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V_{cyl1} = V_{cyl2} | |
Cylinder 1 | |
Cylinder 2 | |
Set Units Shortcut |
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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_{cyl2}^{2} / (4 · π · ø_{cyl1}^{2}) = L_{cyl2} · ø_{cyl2}^{2} / ø_{cyl1}^{2}
ø_{cyl1} = √(L_{cyl2} · 4 · π · ø_{cyl2}^{2} / (4 · π · L_{cyl1})) = √(ø_{cyl2}^{2} · L_{cyl2} / L_{cyl1})
L_{cyl2} = L_{cyl1} · 4 · π · ø_{cyl1}^{2} / (4 · π · ø_{cyl2}^{2}) = L_{cyl1} · ø_{cyl1}^{2} / ø_{cyl2}^{2}
ø_{cyl2} = √(L_{cyl1} · 4 · π · ø_{cyl1}^{2} / (4 · π · L_{cyl2})) = √(ø_{cyl1}^{2} · L_{cyl1} / L_{cyl2})
Cylinder 1 Mode
L_{cyl1} = 4 · V / π · ø_{cyl1}^{2}
ø_{cyl1} = 2 · √(V / (L_{cyl1} · π))
V = L_{cyl1} · π · ø_{cyl1}^{2} / 4
Cylinder 2 Mode
L_{cyl2} = 4 · V / π · ø_{cyl2}^{2}
ø_{cyl2} = 2 · √(V / (L_{cyl2} · π))
V = L_{cyl2} · π · ø_{cyl2}^{2} / 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.