On the Sphere and Cylinder

"On the Sphere and Cylinder" refers to mathematical problems involving shapes like spheres and cylinders. These problems typically explore properties such as surface area, volume, or geometric relationships. For example, calculating the shortest path between two points on a sphere's surface (like the shortest route between two cities on Earth) or determining how a cylinder's dimensions relate to its capacity. These topics help us understand the geometry of curved surfaces, which is essential in fields like physics, engineering, and geography, providing insight into how curved shapes behave and how to measure or optimize them.