Answer:
H = 8 cm
Step-by-step explanation:
The formula of a volume of a cylinder:
[tex]V=\pi r^2H[/tex]
We have
[tex]r=6cm,\ V=904.78\ cm^3[/tex]
Substitute:
[tex]\pi(6^2)H=904.78\\\\36\pi H=904.78\qquad\text{use}\ \pi\approx3.14\\\\(36)(3.14)H=904.78\\\\113.04H=904.78\qquad\text{divide both sides by}\ 113.04\\\\H\approx8\ cm[/tex]
