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Answer :

we know that

The volume of the sphere is equal to

[tex]V=\frac{4}{3}\cdot\pi\cdot r^3[/tex]

In this problem we have

r=14/2=7 in ----> the radius is half the diameter

pi=3.14

substitute the given values

[tex]\begin{gathered} V=\frac{4}{3}_{}\cdot(3.14)\cdot(7^3) \\ V=1,436.0\text{ in\textasciicircum{}3} \end{gathered}[/tex]

answer is 1,436.0 cubic inches