Respuesta :

Answer:

9216π cu in.

Step-by-step explanation:

Volume of sphere = [tex]\frac{4}{3} \pi r^{3}[/tex]     diameter = 48, so r = 24

V =  [tex]\frac{4}{3} \pi 24^{3}[/tex] = [tex]\frac{4}{3} \pi (13824)[/tex]

  = 4(4608)π

  = 18432π

Volume of the hemisphere is 1/2 of the volume of the sphere.  So,

18432π/2 = 9216π cu in.