Solution:
Given:
A cylinder with the following dimensions:
[tex]\begin{gathered} V=5647.604mm^3 \\ \pi=3.14 \\ r=11.5mm \end{gathered}[/tex]
Using the formula of calculating the volume of the cylinder to get the height;
[tex]V=\pi r^2h[/tex]
Substituting the values into the formula,
[tex]\begin{gathered} 5647.604=3.14\times11.5^2\times h \\ 5647.604=415.265h \\ h=\frac{5647.604}{415.265} \\ h=13.6mm \end{gathered}[/tex]
Therefore, the height of the cylinder is 13.6 mm
