Question

Use spherical coordinates to find a parametrization of the quarter-sphere x2+y2+z2=a2, z ≥ 0, x ≥ 0

Answer 1

rho,theta,phi

Answer 2

\[\huge\rho = x^2+y^2+z^2 \]
\[\huge\theta= arctan\left(\frac{y}{x}\right) \]
\[\huge \phi = arccos\left(\frac{z}{\sqrt{x^2+y^2+z^2}} \right)\]