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

Enter a value for all fields

The **Moment of inertia of a Cylinder Perpendicular to the Axis** calculator computes the moment of inertia of a solid circular cylinder of uniform density with radius a and height h about an axis perpendicular to the axis of the cylinder and through the center of mass (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.

- Compute the
**Lateral Surface Area (sides) of a Cylinder**based on height and radius. - Compute the
**Total Surface Area of a Cylinder**including the sides, top and bottom. - Compute the
**Volume of a Cylinder**based on cylinder height and radius - Compute the
**Height of a Cylinder**based on the volume and radius. - Compute the
**Radius of a Cylinder**based on the volume and height. - Compute the
**Mass or Weight of a Cylinder**based on the volume and mean density of the cylinder. - Compute the
**Density of a cylinder**. - Compute the
**Lateral Surface Area of a Slanted Cylinder**. - Compute the
**Volume of a Slanted Cylinder**. - Compute the
**Weight or Mass of a Slanted Cylinder**. - Compute the moment of inertia of a cylinder shaped object based around the central axis
- Compute the moment of inertia of a cylinder shaped object around the end of the cylinder
- Compute the moment of inertia of a cylinder shaped object perpendicular to the central axis.
- Look up the mean density of common substances (useful in calculating the mass/weight and the moments of inertia)