Answer:
[tex]h=24cm[/tex]
Step-by-step explanation:
Volume of the cylinder= [tex]216\pi cm^3\\\\[/tex]
[tex]radius(r)= 3 cm\\\\height(h)=?[/tex]
Volume of the cylinder:
[tex]Volume=\pi *r^2*h[/tex]
Putting the values in the formula:
[tex]216*\pi =\pi *3*3*h[/tex]
Dividing by '[tex]\pi[/tex]' both sides:
[tex]216=3*3*h\\\\216=9*h\\[/tex]
Dividing by '9' both sides:
[tex]h=\frac{216}{9}\\\\[/tex]
[tex]h=24cm[/tex]
The height(h) of the cylinder is: [tex]h=24cm[/tex]
