Answer:
see explanation
Step-by-step explanation:
The volume (V) of a sphere is
V = [tex]\frac{4}{3}[/tex]πr³ ( r is the radius )
here diameter = 12, hence radius = 6
The volume of half of the sphere is
V = [tex]\frac{1}{2}[/tex] × [tex]\frac{4}{3}[/tex]πr³
= [tex]\frac{2}{3}[/tex]πr³
= [tex]\frac{2}{3}[/tex]π × 6³
= [tex]\frac{2}{3}[/tex]π × 216 ← cancel 3 and 216
= 2π × 72
= 144π units³ ← exact value
≈ 452.39 units³ ( to 2 dec. places )
