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Cylinder Volume from Height and Circumference

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Last modified by
on
Jul 2, 2024, 5:52:25 PM
Created by
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Jan 13, 2018, 11:18:46 AM
`V = pi * (c/(2pi))^2 * "h" `
`(c) "Circumference"`
`(h) "Height"`
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Volume Euclidean Geometry (3D) cylinder Verified
UUID
8580c166-f853-11e7-abb7-bc764e2038f2

The Volume of a Cylinder from the Height and Circumference calculator computes the/attachments/8580c166-f853-11e7-abb7-bc764e2038f2/cylinder.JPG volume of a right circular cylinder from the height (h) and circumference (c) of the base (see diagram).

INSTRUCTIONS: Choose units and enter the following:    

  • (c) Circumference of Circular Base 
  • (h) Height of Cylinder

Volume of a Cylinder (V): The calculator returns the volume gallons, fluid ounces and liters.  However, these can be automatically converted to many other volume units (e.g. cubic inches) via the pull-down menu. 

NOTE: This calculator was updated on 3/18/2022 to have inches and gallons as the default input and output units respectively.  All other unit options are available via the pull-down menus. 

The Math

The formula for the volume of a cylinder is:

        V = π • r² • h

To get the radius (r), the circumference of a circle equation (c = 2•π•r) is used and solved for r:

        r = c / (2•π)

This combines to give the formula for the volume of a cylinder from the height and circumference:

       V = π • (c / (2•π))² • h

Cylinder Calculators

  1. Cylinder Side Area: Computes the surface area of the sides of a cylinder based on height and radius.
  2. Cylinder Surface Area: Computes the total surface area of a cylinder including sides, top and bottom.
  3. Cylinder Volume: Computes the volume of a cylinder based on cylinder height and radius.
  4. Cylinder Volume from Height and Circumference: Computes the volume of a cylinder based on the height and circumference.  It also returns the diameter of the cylinder. 
  5. Cylinder Height: Computes the height of a cylinder based on the volume and radius. 
  6. Cylinder Radius: Computes the radius and diameter of a cylinder based on the volume and height.
  7. Cylinder Weight: Computes the weight, mass and volume of a cylinder based on the height, radius and density.
  8. Cylinder Mass  Computes the mass of a cylinder based on the radius and height and mean density of the cylinder.  
  9. Volume in Horizontal Cylinder: Computes partial volume of a horizontal circular cylinder based on the radius and length of the cylinder and the vertical height of the contents in the cylinder (see diagram).
  10. Cylinder Density: Computes the mean density of a cylinder based on the mass and computed volume from the radius and height.
  11. Slanted Cylinder Surface Area: Computes the surface area of a slanted cylinder based on the radius and side length (L).
  12. Slanted Cylinder Area from Angle: Computes the lateral area (surface area of the sides) of a slanted cylinder based on its radius, height and slant angle (θ).
  13. Slanted Cylinder Volume: Computes the volume of a slanted cylinder based on the radius of the base, side length and slant angle.
  14. Slanted Cylinder Weight: Computes the weight or mass of a slanted cylinder based on the radius, side length, slant angle and density.
  15. Cylinder MoI about Central Axis: Computes the moment of inertia of a cylinder about its central axis based on the mass and radius.
  16. Cylinder MoI about the End: Computes the moment of inertia of a solid circular cylinder of uniform density about an axis along the diameter of the cylinder at one end.
  17. Cylinder MoI Perpendicular to Axis: Computes the moment of inertia of a solid circular cylinder of uniform density about an axis perpendicular to the axis of the cylinder and through the center of mass.
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Volume Calculators:
This equation, Cylinder Volume from Height and Circumference, is used in 1 page
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