How to calculate the volume of a sphere

A sphere is a solid of three dimensions without base, without edge, without vertices and with a face. A sphere is a round body with all points on its surface at equal distance from the center. The volume of a sphere should always be measured in cubic units of measurement, since the three spatial dimensions are being taken into account. So if you want to know in detail how to calculate the volume of a sphere, do not forget to read this article from.

Steps to follow:

one

The formula to calculate the volume of a sphere is: V = (4/3) (π) (r³)

However, it will be much easier to give an example to see how the formula is applied, so we will assume that we must calculate the volume of a sphere whose diameter is 28 centimeters.

All you need to do now is connect any information that the problem gives you, with the formula.

two

To begin with, we have that the diameter of said sphere measures 28 cm. But what does the diameter have to do with all this? It turns out, then, that half the diameter of a circle is called a radius.

In this case, the radius is 14 cm, that is, half of 28. Note that if the radius is already given, then it is not necessary to divide the diameter, it is already done. Now, you just have to substitute these values ​​in the formula and perform the operations.

3

Remember that the order of priority of operations marks that you must first calculate the powers and then the multiplications. Also, in the formula you must also do a multiplication with a fraction, so if you do not remember how to do it, we suggest our article on how to do operations with fractions.

Thus, when calculating the cube of 14, we obtain that the resulting value is 2744 and, in turn, we also replace the value of the number pi by 3.14 in order to be able to perform the complete multiplication.

4

And ready! Once all the multiplications are done, you will obtain that the volume value of a sphere with a radius of 14 cm is 11, 488, 213 cm³; always remember to be careful with the units of measurement in which you do the calculations, and the cubic unit of measurement of the final result.