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Cylinder Radius

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Last modified by
on
Jul 2, 2024, 6:12:10 PM
Created by
on
May 9, 2017, 1:25:09 AM
`r = sqrt( "v" /(pi * "h" ))`
`(h) "height"`
`(v) "volume"`
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57535cff-3456-11e7-9770-bc764e2038f2

The Radius of a Cylinder calculator computes the radius of a right circular cylinder from the height (h) and volume (V) (see diagram)./attachments/57535cff-3456-11e7-9770-bc764e2038f2/Cylinder.png

INSTRUCTIONS: Choose units and enter the following:

Radius (r): The calculator returns the radius and diameter in meters.  However, this can be automatically converted to many other length units (e.g. inches) via the pull-down menu. 

The Math / Science

The formula for the radius of a cylinder is:

   `r = sqrt(V/(π*h))`  

where:


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 CircumferenceComputes 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 AngleComputes 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 WeightComputes the weight or mass of a slanted cylinder based on the radius, side length, slant angle and density.
  15. Cylinder MoI about Central AxisComputes the moment of inertia of a cylinder about its central axis based on the mass and radius.
  16. Cylinder MoI about the EndComputes 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.

This equation, Cylinder Radius, is used in 1 page
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