Sphere

thingiverse

The hollow sphere is a fascinating geometric shape that has captivated mathematicians and scientists for centuries. Its unique properties make it an essential concept in various fields of study. The surface area of a hollow sphere can be calculated using the formula A = 4 * π * R^2, where R represents the radius of the inner sphere. This is because the surface area of a sphere is directly proportional to the square of its radius. In contrast, the volume of a hollow sphere is given by V = (4/3) * π * R^3, where R is again the radius of the inner sphere. The factor of 4/3 arises from the fact that the volume of a sphere is proportional to the cube of its radius. The hollow sphere has numerous applications in various fields such as engineering, physics, and mathematics. Its properties make it an ideal model for studying fluid dynamics, heat transfer, and other physical phenomena. In addition, the hollow sphere is also used in mathematical modeling to describe real-world systems such as bubbles, balloons, and empty spaces within objects.