The spherical shape is the smallest surface area for a given volume. This comes about naturally when a surface under pure surface tension contains a fluid volume.
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The area of any sphere is (4 pi) times (Radius)2. It doesn't matter whether it's a planet or a spherical bubble gum. You ought to be able to handle that.
They are not spherical
No, both spherical and hyperbolic geometries are noneuclidian.
Pilots and captains of ship use spherical geometry to navigate their working wheel to move it. They can measure their pathway and destiny by using Spherical Geometry.
The earth, which we live on, is approximately a sphere. It is important, therefore, to know spherical trigonometry.