[tex]\begin{gathered} V=904.77\text{ cubic units} \\ S=452.38\text{ squared units} \end{gathered}[/tex]
Explanation
Step 1
volume
the volume of a sphere is given by:
[tex]\begin{gathered} V=\frac{4}{3}\text{ }\pi r^3 \\ \text{where r is the radius} \end{gathered}[/tex]
then,let r=6 and replace
[tex]\begin{gathered} V=\frac{4}{3}\pi\cdot r^3 \\ V=\frac{4}{3}\pi\cdot(6)^3 \\ V=\frac{4}{3}\pi\cdot216 \\ V=904.77\text{ cubic units} \end{gathered}[/tex]
Step 2
the surface area:
the surface area of a sphere is given by:
[tex]S=4\text{ }\pi r^2[/tex]
then, let r=6
replace
[tex]\begin{gathered} S=4\text{ }\pi(6)^2 \\ S=4\pi\cdot36 \\ S=452.38\text{ squared units} \end{gathered}[/tex]
I hope this helps you
