How do you find the volume of a cylinder from surface area

rA/2 = V

Step-by-step explanation:

Let's ignore the ends.  

If the cylinder has radius r and height h, then the surface area is A = 2πrh.  The 2πr factor is the circumference of the cylinder.  For later use, let's solve this for πrh:  πrh = A/2.

The volume of the cylinder is V = πr²h, where πr² is the area of the base.  

This V = πr²h can be factored so that one of the factors is the area A of the sides of the cylinder:  V = πr²h = r*πrh  = r*(A/2)  = rA/2 = V

there is only one way to arrange all the eight relative to each other because they are not distinct. we have

now there are nine places to place an (and not more than one in one place).   because we have four symbols, we need to choose four of these nine places to insert an . order does not matter because the are not distinct.

thus there are 1 · c(9,4) ways, or, if we calculate it,

thus there are 126 ways to form such "words."