Answer
11.2 cm
Explanation
Given:
Radius, r = 9.4 cm
Volume of the cylinder, V = 3119.5 cm³
What to find:
How tall is the cylinder, i.e the height, h of the cylinder.
Step-by-step solution:
The height of the cylinder can be calculated using the volume of cylinder formula;
[tex]\begin{gathered} V=\pi r^2h \\ \\ \Rightarrow h=\frac{V}{\pi r^2} \end{gathered}[/tex]
Putting the values of the given parameters and π = 3.14, we have;
[tex]h=\frac{3119.5cm^3}{3.14\times9.4cm^2}=\frac{3119.5cm}{277.45}=11.2cm[/tex]
How tall is the cylinder is 11.2 cm
