Take into account that the area of the surface of a sphere is given by the following formula:
[tex]S=4\pi r^2[/tex]
In this case, the radius r of the sphere is r = 9 cm. By replacing this value into the previous formula and simplifying, you have:
[tex]S=4\pi(9cm)^2=4\cdot81\pi cm^2=324\pi cm^2[/tex]
Hence, the surface area is 324pi cm^2.
Now, the volume of a sphere is given by:
[tex]\begin{gathered} V=\frac{4}{3}\pi r^3 \\ V=\frac{4}{3}\pi(9cm)^3=\frac{4}{3}\cdot729\pi cm^3=972\pi cm^3 \end{gathered}[/tex]
Hence, the volume is 972pi cm^3
