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?
Then what do we do next?
The next step is to solve for h in the volume equation, which gives us h = 251.2 / (πr²). We can then substitute that value of h into the surface area equation, which becomes 94.2 = 2πr² + 2πr(251.2 / πr²). We simplify that equation to get 94.2 = 2πr² + 502.4 / r, and then solve for r using algebra. The solution is r = 3.5 meters. Finally, we can substitute that value of r back into the equation for h to get h = 6.7 meters. So the height and radius of the cylinder are approximately 6.7 meters and 3.5 meters, respectively.