The formula for the volume of a cylinder is given by:
[tex]V=\pi r^2h[/tex]Where r is the base radius and h is the height.
If the volume is 448*pi cm³ and the height is 7 cm, we have:
[tex]\begin{gathered} 448\pi=\pi r^2\cdot7\\ \\ 448=7r^2\\ \\ r^2=\frac{448}{7}\\ \\ r^2=64\\ \\ r=8\text{ cm} \end{gathered}[/tex]Therefore the radius is equal to 8 cm.
Drawing this cylinder, we have:
