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Cylinder and Sphere Dimensions with Same Volume Calculator

Select Answer Mode
Vcyl = Vsph
Cylinder
Sphere
Set Units Shortcut
Calculate Cylinder & Sphere Dimensions
Length of Cylinder [?]
Diameter of Cylinder [?]
Diameter of Sphere [?]
Volume [?]

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Related Tools

  • Box and Cylinder dimensions calculator
  • Box and Sphere dimensions calculator
  • Box 1 and Box 2 dimensions calculator
  • Cylinder 1 and Cylinder 2 dimensions calculator
  • Cylinder volume calculator
  • Sphere volume calculator

Contents

Toggle
  • User Guide
    • Formulas
      • Same Volume Mode (Vcyl = Vsph)
      • Cylinder Mode
      • Sphere Mode
      • Symbols
    • Parameters
      • Length of Cylinder
      • Diameter of Cylinder
      • Diameter of Sphere
      • Volume

User Guide

Cylinder and Sphere with Same VolumeThis 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:

Same Volume Mode (Vcyl = Vsph)

Lcyl = 2 · øsph3 / (3 · øcyl2)

øcyl = √(2 · øsph3 / (3 · Lcyl))

øsph = ∛(3 · Lcyl · øcyl2/ 2)

Cylinder Mode

Lcyl = 4 · V / π · øcyl2

øcyl = 2 · √(V / (Lcyl · π))

V = Lcyl · π · øcyl2/ 4

Sphere Mode

øsph = ∛(6 · V / π)

V = π · øsph3 / 6

Symbols

  • Lcyl = Length of cylinder
  • øcyl = Diameter of cylinder
  • øsph = Diameter of sphere
  • V = Volume of cylinder or sphere
  • π = Pi = 3.14159…

Parameters

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.

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