the centroid of a hemisphere
Assuming "hemisphere" is a mathematical surface | Use as instead

Input interpretation

hemisphere | centroid of solid

Result

x^_ = (0, 0, (3 a)/8)

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)

Semialgebraic description

x^2 + y^2 + z^2 = a^2 and z>=0
POWERED BY THE WOLFRAM LANGUAGE