A ball in 2D can be written x^2 + y^2\leq r^2. In 3D, a ball...
A ball in 2D can be written x^2 + y^2\leq r^2. In 3D, a ball...
A ball in 2D can be written x^2 + y^2\leq r^2. In 3D, a ball is x^2 + y^2 + z^2\leq r^2. In n dimensions, we can represent a ball, or hypersphere, similarly. (a) What is a ball in 1D? Find the length. (b) Find the area of a ball in 2D. (c) Find the volume of a ball in 3D and 4D.?
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