Algebra Solvers

Area and Volume of a Cylinder

Instructions: Enter the radius rr and the height hh of a cylinder and the units (cm, mt, ft, etc) and the solver will compute the corresponding area and perimeter.


Type the radius of the cylinder rr =


Type the height of the cylinder hh =

How to Compute the Area and Volume of a Cylinder?

In order to compute the area and volume of a cylinder of radius rr and height hh we use the following formulas:

Area=2πrh+2πr2 \text{Area} = 2\pi r h+2\pi r^2 Volume=πr2h \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 rr and height rr in the above formulas. For example, if the radius is r=3r = 3 and the height is h=2h = 2 then we compute

Area=2πrh+2πr2=2π⋅3⋅2+2π⋅32=30π \text{Area} = 2\pi r h+2\pi r^2 = 2\pi \cdot 3 \cdot 2 + 2 \pi \cdot 3^2 = 30 \pi Volume=πr2h=π⋅32⋅2=18π \text{Volume} = \pi r^2 h = \pi \cdot 3^2 \cdot 2 = 18\pi

which completes the calculation.

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