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Answered

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Can y’all help me plz

Can Yall Help Me Plz class=

Sagot :

nmakapedua2

Answer:

Step-by-step explanation:

I think it is A

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]

  • for 3 spheres

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

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