Answer: [tex]36\pi\ m^2[/tex]
Step-by-step explanation:
We know that the volume of cylinder is given by :-
[tex]\text{Volume}=\pi r^2 h[/tex], where r is radius and h is height of cylinder.
Since , The volume of clay used to build a cylindrical pillar with a height of 9 centimeters is 324π cubic centimeters.
[tex]\Rightarrow\ 324\pi=\pi r^2(9)\\\\\Rightarrow\ \pi r^2=36\pi[/tex]
Also, the area of base is given by :-
[tex]\text{Area}=\pi r^2\\\\\Rightarrow\ \text{Area}=36\pi\ m^2[/tex]
Therefore, the area of the base of the pillar= [tex]36\pi\ m^2[/tex]
