Question

what is the centre of mass of solid hemisphere?

Answer 1

If we place this hemisphere in a coordinate system so that the centre of the circular base lies at the origin, the abscissa of the center of mass would be zero and the ordinate would be 3R/8, where R is the radius of the solid hemisphere

Answer 2

hey,

The center of mass of a hemisphere is at a distance of 3R/8 from the flat surface along the radius from the center drawn along the line of symmetry, R being the radius of the hemisphere. ... For a unit sphere of uniform density, let “a” be the distance from the sphere's center to the center of mass of the upper hemisphere.