Upgrade to access all content for this subject

Find the center of mass of the upper half ball:

$$B_u=\{(x,y,z): x^2+y^2+z^2\leq 1, z\geq 0\}$$

Assume $B_u$ has constant density.

$(0,0,\cfrac{1}{8})$

$(0,0,\cfrac{1}{4})$

$(0,0,\cfrac{3}{8})$

$(0,0,\cfrac{\pi}{6})$

$(0,0,\cfrac{\sqrt{2}}{4})$