Quite often, there is a need for a quick and correct calculation of **a grinding ball surface area and volume**. Necessity of such calculations may arise when choosing a container for reloading grinding media into a ball mill;when selecting the optimum characteristics of grinding ballsto suit specific grinding requirements, etc. Most peoplecould say that this task refers to a fifth-grade math course. However, in the current pace of life,we have no time for recalling these simple mathematical formulas. Therefore, we decided to make a little crib sheet.

The sphere area (the surface area of a grinding ball), S is a value thatdetermines the area of the ball. Below, you can see the calculation formula:

S=4*π*R** ^{2}**, where:

S – the surface area of the ball;

π – PIconstant, a mathematical constant that is equal to the ratio of the circle’s circumference to its diameter. 3.14 isa commonly used value for PI;

R- the radius of the ball.

**The volume** of a grinding ball is determined by the formula:

V=4/3*π*R** ^{3}**, where:

V- the volume of the ball

π – PI constant, a mathematical constant that is equal to the ratio of the circle’s circumference to its diameter. 3.14 is a commonly used value for PI;

R- the radius of the ball.

Earlier, we have mentioned one of the grinding media characteristics which is defined by **the ratio of the surface area to the volume** of the grinding ball (link to the article). As smaller the ratio value,as thinner (the better) grinding process will be.

We hope this information will save your time for searching a seemingly simple formula.