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Sphere

 Sphere

Source: https://s1.static.brasilescola.uol.com.br/be/conteudo/images/potencial-no-interior-uma-esfera-eletrizada-5515a9675440a.jpg

Let a point in space and r be a positive real number. The set of all points whose distance from O is less than or equal to r is called a sphere with center O and radius r. The spherical surface with center O and radius r is the set of points whose distance from point O is equal to r.

We can imagine a spherical surface as the "shell" of a sphere, but a shell without thickness.

Sphere volume

Source: https://static.preparaenem.com/2021/06/esfera-centro-raio.jpg

The volume of a sphere of radius r is given by:

Sphere surface area:

Source: https://encrypted-tbn0.gstatic.com/images?q=tbn:ANd9GcRjpkATG9xgRAD2gH3NCncB8GQ2V_f7Wsm3mb3u0UUtUevH9rp7KfvWEpPOs3hieRBxAsM&usqp=CAU


References:
CHAVANTE, Eduardo; PRESTES, Diego. Mathematics 2. First Edition. São Paulo: Quadrant, 2016.









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