`MoI = ( M (3* a ^2+4* h ^2))/12`

Enter a value for all fields

The Moment of Inertia of a Cylinder at the End calculator computes the  moment of inertia of a solid circular cylinder of uniform density with radius a and height h about an axis along the diameter of the cylinder at one end (see diagram).

INSTRUCTIONS: Choose your preferred units and enter the following:

• (M) This is the mass of the cylinder.
• (a)  This is the radius of the cylinder.
• (h)  This is the height or length of the cylinder.

Moment of Inertial: The calculator returns the moment of inertia (MoI) in kilogram-square meters.  However, this can be automatically converted to other moment of inertia units via the pull-down menu.

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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.