You do not solve the diameter. You can either measure it or you can CALCULATE it. Calculation depends on what information you do have. There are different formulae which depend on whether you know the radius, the circumference, the area, the volume (if a sphere), the angle between tangents from a point at a known distance from the centre etc.
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The diameter is twice the radius.
The circumference of a circle is 2*pi*radius or diameter*pi
Assuming you mean a circle, use the formula for the area of a circle, which is usually expressed in terms of the radius, and solve for the radius. Then you can multiply that by two to get the diameter, since the diameter is twice the radius.
Volume = Pir2 X height Diameter = 2r Pi = 3.1416 Solve for diameter Volume/height = 3.1416(diameter/2)2 (square root of (Volume/height/3.1416)) X 2 = diameter of the cylinder base
Circumference is pi * d. Solve for d. d = Circumference / pi