Respuesta :

Answer:

Diameter = 24 mm

Step-by-step explanation:

Volume of a sphere is 4/3 π[tex]r^{3}[/tex]

First, we solve for radius:

2304π = 4/3π[tex]r^{3}[/tex]

Multiply both sides by 3

3(2304π) = 4π[tex]r^{3}[/tex]

Divide both sides by 4π

6912π/4π = [tex]r^{3}[/tex]

1728 = [tex]r^{3}[/tex]

Cuberoot both sides

[tex]\sqrt[3]{1728}[/tex] = r

r= 12

Hence, the diameter would be: 2times the radius = 2*12= 24 mm

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24 MM(is the answer for your question!)