Chapter 8, Problem 8.90P

The hemispherical glass bowl is filled with water. Find the location $\bar{y}$ of the center of gravity of the filled bowl. Approximate the bowl as a thin shell of radius $\bar{R}=6.15\text{in}\text{.}$ Use ${\gamma }_1=162{\text{lb/ft}}^{\text{3}}$ for glass and ${\gamma }_2=62.4{\text{lb/ft}}^{\text{3}}$ for water.