Here
radius( r) =12/2=6 in.
height(h)=13 in.
now,
volume of hemisphere(V1)=
[tex] \frac{2}{3} \pi \: {r}^{3} = \frac{2}{3}\pi {6}^{3} = 144\pi \: cu. \: in.[/tex]
volume of cylinder(V2)=
[tex]\pi {r}^{2} h = \pi \times {6}^{2} \times 13 = 468\pi \\ [/tex]
now total volume=V1+V2
=144Pi +468pi
=212pi
