Answer:
The diameter of the sphere with the given volume is 24.268 units
Step-by-step explanation:
Volume of a sphere is given by the equation:
[tex]V=4/3\pi r^3[/tex]
Plug in your volume and solve for r
[tex]7483=4/3\pi r^3[/tex]
[tex]7483(3/4)=\pi r^3[/tex]
[tex]5612.25=\pi r^3[/tex]
[tex]5612.25/\pi =r^3[/tex]
[tex]1786.43=r^3[/tex]
[tex]\sqrt[3]{1786.43}=r[/tex]
[tex]r = 12.134[/tex] units
[tex]d = 2r[/tex]
[tex]d = 2(12.134)[/tex]
[tex]d = 24.268[/tex] units
