Question

The volume of a cylinder is 4,019.2 cubic units. If the radius is 8 units, how tall is the cylinder?

Answer 1

$\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h\quad \begin{cases} r=radius\\ h=height\\ ------\\ r=8\\ V=4019.2 \end{cases}\implies 4019.2=\pi \cdot 8^2\cdot h \\\\\\ 4019.2=64\pi h\implies \cfrac{4019.2}{64\pi }=h$