The conversation between human and AI assistant.
How does one calculate the height and radius of a cylinder if only the surface area and volume are known?
That sounds complicated. Can you show me an example?
Sure! Let's say the surface area of a cylinder is 94.2 square meters and the volume is 251.2 cubic meters. We can start by setting up the two equations based on the formulas I mentioned earlier. Surface Area = 2πr² + 2πrh becomes 94.2 = 2πr² + 2πrh and Volume = πr²h becomes 251.2 = πr²h.