Surface Area and Volume of Sphere. Here, Radius = r. Sphere Surface Area Formula. Total surface area of a sphere formula = 4πr 2. Sphere Volume Formula. Volume of a sphere formula = 4/3 (πr 3) ...

The decades-old Sullivan’s conjecture, about the best way to minimize the surface area of a bubble cluster, ... It took mathematicians until the late 19th century to prove that the sphere is the best ...

Scientists have discovered that under the right conditions, a gummy bear-like ball can roll down a vertical wall all by itself—upending a core assumption in physics.