Answer:
The height of the cylinder is [tex]h=4\ units[/tex]
Step-by-step explanation:
we know that
The volume of a cylinder is equal to
[tex]V=\pi r^{2}h[/tex]
Case 1) If the volume is equal to [tex]V=201\ units^{3}[/tex]
we have
[tex]r=4\ units[/tex]
substitute the values and solve for h
[tex]201=\pi (4^{2})h[/tex]
[tex]h=201/(3.14*16)=4\ units[/tex]
Case 2)
If the volume is equal to [tex]V=201\pi\ units^{3}[/tex]
we have
[tex]r=4\ units[/tex]
substitute the values and solve for h
[tex]201\pi=\pi (4^{2})h[/tex]
simplify
[tex]h=201/16=12.56\ units[/tex]
