- For a given volume, the sphere is the shape that has the smallest surface area. This why it appears in nature so much, such as water drops, bubbles and planets.
- The surface area of a sphere is exactly four times the area of a circle with the same radius. Why? because the area of a circle is πr2 and the surface area of a sphere is 4πr2
- Archimedes first calculated the volume and surface area of a sphere but first he had to figure out how to calculate the area of a circle.
- The ratio of a volume of a sphere inside a cylinder is 2:3
- The earth is not quite a perfect sphere so it's called a spheroid

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