Answer:
[tex]\rho=365.6Kg/m^3[/tex]
Explanation:
31.5 inches are 0.8m.
1727 ounces are 49Kg.
Our hemispherical container has a volume half of a sphere with diameter d=0.8m, or a radius r=0.4m. Since the formula for the volume of sphere is
[tex]V_s=\frac{4\pi r^3}{3}[/tex]
our volume will be:
[tex]V=\frac{1}{2}\frac{4\pi r^3}{3}=\frac{2\pi r^3}{3}[/tex]
And our density can be calculated as
[tex]\rho = \frac{m}{V}=\frac{3m}{2\pi r^3}=\frac{3(49Kg)}{2\pi (0.4)^3}=365.6Kg/m^3[/tex]
