Volume of a cylinder

V=\pi r^2 H

Result unit: volume units

What it describes

The volume of a cylinder with base radius

r

and height

H

V

volume

r

base radius

H

height

This is a prism with a circular base — the area of the circle

\pi r^2

multiplied by the height.

Cylinders: pipes, cans, columns.

Base radius 2 cm, height 10 cm. Find the volume of the cylinder.

Substitution

r=2

H=10

Result

V=\pi\cdot4\cdot10=40\pi\approx125.7

cm³.

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