Only one - its centre.
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A sphere has an infinite number of planes of symmetry. The plane must include the center of the sphere, but it can tilt at any angle. The question is the same as asking "How many planes can be drawn through one point ?" The answer is: An infinite number. And as long as the point is the center of the sphere, each plane is a plane of symmetry of the sphere.
It can have as many lines of symmetry as it has points.
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it depends on what kind of 3D shape you want. example= A sphere has an infinite amount of symmetry lines
A circle has infinitely many points of symmetry. Every straight line that passes through the center of a circle is a line of symmetry.