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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