The Radius of a Cylinder calculator computes the radius of a right circular cylinder from the height (h) and volume (V) (see diagram).
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 Side Area: Computes the surface area of the sides of a cylinder based on height and radius.
- Cylinder Surface Area: Computes the total surface area of a cylinder including sides, top and bottom.
- Cylinder Volume: Computes the volume of a cylinder based on cylinder height and radius.
- 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.
- Cylinder Height: Computes the height of a cylinder based on the volume and radius.
- Cylinder Radius: Computes the radius and diameter of a cylinder based on the volume and height.
- Cylinder Weight: Computes the weight, mass and volume of a cylinder based on the height, radius and density.
- Cylinder Mass Computes the mass of a cylinder based on the radius and height and mean density of the cylinder.
- 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).
- Cylinder Density: Computes the mean density of a cylinder based on the mass and computed volume from the radius and height.
- Slanted Cylinder Surface Area: Computes the surface area of a slanted cylinder based on the radius and side length (L).
- 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).
- Slanted Cylinder Volume: Computes the volume of a slanted cylinder based on the radius of the base, side length and slant angle.
- Slanted Cylinder Weight: Computes the weight or mass of a slanted cylinder based on the radius, side length, slant angle and density.
- Cylinder MoI about Central Axis: Computes the moment of inertia of a cylinder about its central axis based on the mass and radius.
- 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.
- 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.