Answer:
option B [tex]D=6\ ft[/tex]
Step-by-step explanation:
we know that
The volume of the sphere is equal to
[tex]V=\frac{4}{3}\pi r^{3}[/tex]
In this problem we have
[tex]V=36\pi\ ft^{3}[/tex]
substitute and solve for r
[tex]36\pi=\frac{4}{3}\pi r^{3}[/tex]
simplify
[tex]27=r^{3}[/tex]
[tex]r=3\ ft[/tex]
Find the diameter
[tex]D=2r=2(3)=6\ ft[/tex]
