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How to calculate volume of a cylinder?
Let’s start from the beginning – what is a cylinder? It’s a solid bounded by a cylindrical surface and two parallel planes. We can imagine it as a solid physical tin having lids on top and bottom. To calculate volume of a cylinder, we need to know two parameters – the radius (or diameter) and height:
cylinder_volume = π * cylinder_radius² * cylinder_height
Cylinder volume calculator helps in finding the volume of right, hollow and oblique cylinder: Images of right circular hollow cylinder, right circular cylinder and oblique cylinder.
Volume of a hollow cylinder
The hollow cylinder, also called the cylindrical shell, is a three-dimensional region bounded by two right circular cylinders having the same axis and two parallel annular bases perpendicular to the cylinders’ common axis. It’s easier to understand that definition imagining e.g. a drinking straw or a pipe – the hollow cylinder is this plastic, metal, or other material part.
The formula behind the volume of a hollow cylinder is:
cylinder_volume = π * (R² – r²) * cylinder_height
where R – external radius, and r – internal radius
How do you find the height of a cylinder?
If you have the volume and radius of the cylinder:
Make sure the volume and radius are in the same units (e.g. cm3 and cm) and radius in is radians.
Square the radius.
Divide the volume by the radius squared and pi to get the height in the same units as the radius.
If you have the surface area and radius (r):
Make sure the surface and radius are in the same units and radius in is radians.
Subtract 2πr² from the surface area.
Divide the result of step 1 by 2πr.
The result is the height of the cylinder.
“How to calculate volume of a cylinder ?”
FAQ’s
What is the radius of a cylinder?
From the cylinder volume formula, we can find the radius of the cylinder. The radius of a cylinder(r) = √(V / π × h), where V is the volume of a cylinder, h is the height of the cylinder and π(Pi) is a mathematical constant with an approximate value of 3.14 .
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