For this case we have that by definition, the volume of a cylinder is given by:
[tex]V = \pi * r ^ 2 * h[/tex]
Where,
- r: cylinder radius
- h: cylinder height
Rewriting the expression for height, we have:
[tex]h = \frac {V} {\ pi * r ^ 2}[/tex]
Substituting values we have:
[tex]h = \frac {86} {3.14 * (3 ^ 2)}\\h = 3.04 units[/tex]
Answer:
the height of the cylinder is:
[tex]h = 3.04 \ units[/tex]
