A small metal ball circles a cylinder with a radius of 1 m and a height of 27 m leaving a trace behind. It starts at the top of the cylinder and ends up at the bottom completing in total three full laps while descending. What is the length in meters (no decimals) of the trace the metal ball leaves behind? If you figure this out you will get the three last digits in the north coordinate to enter into the geochecker.
The cylinder is filled with some water. A metal sphere with a surface area of 5,179 m2 is lowered into the water until it is fully submerged. By how many meters (three decimal points) will the surface of the water in the cylinder raise during the process? If you figure this out you will get the three last digits in the east coordinate to enter into the geochecker.