Step 1: Find the mass of the solid hemisphere**
Given:
Density, $\rho = kz$
Radius, $a$
The formula for mass is:
$M = \iiint\limits_{E} \rho \, dV$
Substitute $\rho = kz$:
$M = \iiint\limits_{E} kz \, dV$
Convert to spherical coordinates:
$M = \int_{0}^{2\pi}
Show more…