How to Compute the Area and Volume of a Cylinder?

In order to compute the area and volume of a cylinder of radius \(r\) and height \(h\) we use the following formulas:

\[ \text{Area} = 2\pi r h+2\pi r^2\] \[ \text{Volume} = \pi r^2 h \]

Computationally speaking, it quite simple simple to compute the area and the volume of a cylinder, by simply plugging the radius \(r\) and height \(r\) in the above formulas. For example, if the radius is \(r = 3\) and the height is \(h = 2\) then we compute

\[ \text{Area} = 2\pi r h+2\pi r^2 = 2\pi \cdot 3 \cdot 2 + 2 \pi \cdot 3^2 = 30 \pi \] \[ \text{Volume} = \pi r^2 h = \pi \cdot 3^2 \cdot 2 = 18\pi\]

which completes the calculation.