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Ball

Example plot

Equation

x^2 + y^2 + z^2<=a^2

(for a ball with center at the origin and radius a)

Solid properties

2 a

S = 4 π a^2

x^_ = (0, 0, 0)

V = (4 π a^3)/3

I = ((2 a^2)/5 | 0 | 0
0 | (2 a^2)/5 | 0
0 | 0 | (2 a^2)/5)

(for a ball with center at the origin and radius a)

Distance properties

2 a

χ = 1

s^_ = (36 a)/35

V^_ = (12 π a^3)/715

(where lengths and volumes refer to line segments and tetrahedra picked at random from points contained in the solid)

Properties

solids of constant width | convex solids | solids of revolution