Answer:
Step-by-step explanation:
The base of the cylinder is in the shape of a circle:
Area of the base=[tex]\pi *r^2[/tex]
For Base area=22 square units
[tex]22=\pi *r^2[/tex]
[tex]22=3.14*r^2\\r^2=22/3.14\\r^2=7.01\\r=\sqrt{7.01}[/tex]
Volume of the cylinder=[tex]\pi *r^2*h[/tex]
For volume '198 cubic units' the height(h) is:
[tex]198=\pi *r^2*h[/tex]
[tex]198=3.14*(\sqrt{7.01})^2*h[/tex]
[tex]198=3.14*7.01*h\\\\198=22.01*h\\\\198/22.01=h\\\\h=9 units\\[/tex]