Answer:
The diameter is 13.88 feet.
Step-by-step explanation:
1. The formula for calculate the volume of a sphere is:
[tex]V=\frac{3}{4}(r^{3}\pi)[/tex]
Where [tex]r[/tex] is the radius.
2. The diameter is:
[tex]D=2r[/tex]
3. So, you must solve for the radius in the first equation:
[tex]r=\sqrt[3]{\frac{4V}{3\pi}}[/tex]
[tex]r=\sqrt[3]{\frac{4(790.272ft^{3} )}{3\pi}}\\r=6.94ft[/tex]
4. Then, the diameter is:
[tex]D=2(6.94ft)\\D=13.88ft[/tex]
