Search results : volume of sphere

Area Of A Sphere
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Assuming a mathematical surface | use as a geometric object instead

Input interpretation

sphere | volume of solid

Result

(4 pi a^3)/3 (assuming radius a)

Plot

Example plot

Equations

parametric equations | x(u, v) = a cos(u) sin(v) y(u, v) = a sin(u) sin(v) z(u, v) = a cos(v) Cartesian equation | x^2+y^2+z^2 = a^2 (plotted for u from 0 to 2 pi and v from 0 to pi)

Surface properties

algebraic degree | 2 genus | 0 surface area | 4 pi a^2 centroid of solid | (0, 0, 0) volume of solid | (4 pi a^3)/3 moment of inertia tensor of solid | ((2 a^2)/5 | 0 | 0 0 | (2 a^2)/5 | 0 0 | 0 | (2 a^2)/5) Gaussian curvature | 1/a^2 (for a sphere with center (0, 0, 0) and radius a)

Distance properties

mean line segment length | (4 a)/3 (where lengths and areas refer to line segments and triangles picked at random from points on the surface)