Answer:
A. 54 pie cm³
Step-by-step explanation:
height of the cylinder = 6 × radius of one sphere.
= 6 × 3
= 18 cm
as we can see 3 spheres make up the height of one cylinder,
height of one sphere = 6 cm (3 + 3)
with three spheres it becomes = 6 × 3
= 18 cm
- volume of a cylinder = [tex]\pi[/tex] r² h
= [tex]\pi[/tex] × (9)² × 18
= 27 × 6 [tex]\pi[/tex]
- volume of a sphere = 4/ 3 × [tex]\pi[/tex] 3³
= 36 [tex]\pi[/tex]
volume = 3 × (36 [tex]\pi[/tex] )
= 27 × 4 [tex]\pi[/tex]
volume of the empty space
= volume of cylinder- volume of 3 spheres
= 27 × 6 [tex]\pi[/tex] - 27 × 4 [tex]\pi[/tex]
= 27 [tex]\pi[/tex] ( 6 - 4)
= 27 × 2 [tex]\pi[/tex]
= 54 [tex]\pi[/tex] cm³
