The volume of a cylinder is 2,200π cubic inches. The diameter of the circular base is 10 inches. what is the height of the cylinder?- 22 inches- 88 inches - 220 inches - 440 inches

if the diameter of the cylinder's base is 10, then the radius is half that, or 5.

[tex]\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h\qquad \begin{cases} r=radius\\ h=height\\ ------\\ r=5\\ V=2200\pi \end{cases}\implies 2200\pi =\pi (5)^2h \\\\\\ \cfrac{2200\pi }{\pi (5)^2}=h\implies \cfrac{2200}{25}=h\implies 88=h[/tex]