Respuesta :
Answer: 8 cm
Step-by-step explanation:
The volume of cylinder is given by :-
[tex]V=\pi r^2 h[/tex], where r is radius and h is height.
Given : r= 6 cm and V= 904.78 cubic cm
Substitute these values in the above formula , we get
[tex]904.78=\dfrac{22}{7} (6)^2 h \ \ [\text{We use }\pi=\dfrac{22}{7}]\\\\\Rightarrow\ h=\dfrac{904.78\times7}{22\times6^2}=7.99679292929\approx8[/tex]
Hence, the height of the cylinder is 8 cm .