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Calculate the volume of a cylinder

Type the cylinder's radius and height into the boxes, and the calculator works out the volume straight away. You can use either a comma or a full stop for decimals, like 4.5.

What is the volume of a cylinder?

The volume is how much space the cylinder takes up. The radius rr is the distance from the middle of the cylinder's round base out to its edge, and the height hh is the distance from the base to the top.

The formula is:

V=π⋅r2⋅hV = \pi \cdot r^2 \cdot h

You first work out the area of the round base, which is π⋅r2\pi \cdot r^2, and then multiply it by the height. Think of the cylinder as a stack of identical circles: the base area tells you how big each circle is, and the height tells you how tall the stack is.

Example

A cylinder has radius r=3r = 3 and height h=5h = 5. The volume is:

V=π⋅r2⋅h=π⋅32⋅5=45⋅πV = \pi \cdot r^2 \cdot h = \pi \cdot 3^2 \cdot 5 = 45 \cdot \pi

So the volume is 45⋅π45 \cdot \pi, which is about 141.37 units³.