Remember that whenever a figure is scaled by a factor k, then its area gets scaled by a factor of k^2 and its volume gets scaled by a factor of k^3. If the area factor for a cylinder is 19.16, then the scale factor is related to it by the following expression:
[tex]k^2=19.16[/tex]
Then:
[tex]\begin{gathered} k=\sqrt[]{19.16} \\ \Rightarrow k=4.377213726\ldots \\ \therefore k\approx4.38 \end{gathered}[/tex]
Up to two decimal places, the scale factor is 4.38
