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

answer: 25.4 units

step-by-step explanation: radius = 12.7 units

diameter = twice the radius

diameter = 12.7 x 2

= 25.4

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step-by-step explanation: