Volume of cone = [tex] \frac{1}{3} r^{2} \pi h[/tex]
We have
Volume = 30[tex] \pi [/tex]
Radius = 3
Substitute the values into the formula gives
30[tex] \pi [/tex]=[tex] \frac{1}{3} [/tex][tex](3)^{2} [/tex][tex] \pi [/tex]h
[tex] \frac{30 \pi *3}{9 \pi } [/tex]= h
[tex]h=10cm[/tex]