we know that
the volume of a sphere is equal to
[tex]V=\frac{4}{3}\pi\cdot r^3[/tex]
we have
r=16.2/2=8.1 cm -----> the radius is half the diameter
pi=3.14
substitute the given values
[tex]\begin{gathered} V=\frac{4}{3}\cdot(3.14)\cdot8.1^3 \\ V=2,225.0\text{ cm\textasciicircum{}3} \end{gathered}[/tex]
the volume is 2,225.0 cubic centimeters
