Answer: 1539π cubic inches.
Step-by-step explanation:
In the figure, we have a hemisphere joined with a cylinder of the same diameter 18 inches.
Radius = 9 inches (half of diamter)
Volume of hemisphere = [tex]\dfrac23 \pi r^3[/tex]
Volume of cylinder = [tex]\pi r^2 h[/tex], where r= radius h= height
Volume of hemisphere= [tex]\dfrac{2}{3}\pi (9)^3=486\pi in.^3[/tex]
Volume of cylinder = [tex]\pi (9)^2 (13)=1053\pi\ in.^3[/tex]
Combined volume = 486π+1053π=1539π cubic inches.
Hence, the volume of the solid = 1539π cubic inches.
