Answer:
LAST OPTION: [tex]178 \pi=\pi (8)^2h[/tex]
Step-by-step explanation:
For this exercise you need to remember that the volume of a cylinder can be calculated with the following formula:
[tex]V=\pi r^2h[/tex]
Where "r" is the radius and "h" is the height of the cylinder.
In this case, you know that the height of this cylinder and its volume are the following:
[tex]V=178 \pi\ in^3\\\\r=8\ in[/tex]
Knowing these values you can substitute them into the formula shown above:
[tex]178 \pi=\pi (8)^2h[/tex] (CORRECT FIRST STEP)
Now you can solve for "h" by dividing both sides of the equation by [tex]\pi (8)^2[/tex]. Therefore, you get:
[tex]\frac{178 \pi}{\pi (8)^2}=\frac{\pi (8)^2h}{\pi (8)^2}\\\\h=2.78\ in[/tex]
