Cylinder Height

The Height of a Cylinder calculator computes the height (h) of a right circular cylinder from the volume (V) and radius (r) of the base (see diagram).

INSTRUCTIONS: Choose units and enter the following:

• (r) Radius of Cylinder 
• (V) Volume of Cylinder

Height (h): The calculator returns the height (h)  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 height or length of a cylinder based on the radius and volume  is:

       h = V / (π·r²) 

where:

• h is the height or length of the cylinder 
• V is the volume of the cylinder
• r is the radius of the cylinder 

Practical Applications

The Height of a Cylinder Calculator (here) can help you measure the amount of liquid (e.g. water) is in tank.  For example, say you have a cylinder shaped water tank, and you believe you have 60 gallons in it.  You can measure the radius of the tank (e.g. 16"), and enter the radius and 60 gallons as the volume into this calculator.  It will tell you that the height of the liquid should be 17.233 inches (17 1/4").  You can then use a dipstick to measure the actual depth of liquid and confirm the amount.  If the dipstick measure a different height, you have a different volume of liquid.  In that case, use the radius and height in the Volume of a Cylinder calculator (CLICK HERE) to tell you the actual volume.

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.