Area and Volume of a Sphere
Instructions: Use this Area and Volume of a Sphere calculator by entering the radius \(r\) of a sphere and the corresponding unit (cm, mt, ft, etc) and the solver will compute the area and volume showing all the steps.
More About the calculation of volume and surface area of a Sphere
Use this calculator volume of a sphere calculator with steps. A little bit of background for you to understand the results better. In order to compute the area and the volume of a sphere of radius \(r\) we use the following formulas:
\[\text{Area} = 4\pi r^2\] \[\text{Volume} = \frac{4}{3}\pi r^3\]Computationally speaking, it is really simple to compute the area and the volume of a sphere, by simply plugging the radius \(r\) in the above formulas. For example, if the radius is \(r = 3\), then we compute
\[\text{Area} = 4\pi r^2 = 4\pi \cdot 3^2 = 36 \pi \] \[\text{Volume} = \frac{4}{3}\pi r^3 = \frac{4}{3}\pi \cdot 3^3 = \frac{108}{3} \pi = 36 \pi \]which completes the calculation.
What if you are dealing with a circle instead?
For a circle the calculations are different, in which case you should use this circle area and perimeter calculator .
Other geometry-related calculators
We have other calculators to find volume and surface are of different geometric forms. Check our volume of a cylinder , square pyramid calculator and our volume of a cone calculator , to mention some of them.