Answer:
The height of cylinder is 9 cm
Step-by-step explanation:
Volume of cylinder = 198 cm³
Base Area = 22 cm²
We need to find height of the cylinder
The formula used is: [tex]Volume\:of\:cylinder=\pi r^2h[/tex]
Where [tex]Base\: Area = \pi r^2[/tex]
First we need to find radius r
[tex]Base\: Area = \pi r^2\\22=3.14\: r^2\\r^2=\frac{22}{3.14}\\r^2=7\\Taking\: square\: root\: on\: both\: sides\\\sqrt{r^2}=\sqrt{7}\\r=2.656[/tex]
So, we get radius r = 2.656
Putting values of volume and radius are to find height
[tex]Volume\:of\:cylinder=\pi r^2h\\198=3.14(2.656)^2h\\h=\frac{198}{22}\\h=9[/tex]
So, the height of cylinder is 9 cm
