A cylinder with radius [tex] r [/tex] and height [tex] h [/tex] has volume
[tex] V=\pi r^2 h [/tex].
It is given that the volume is [tex] V=1334.5\;cm^3 [/tex] and the radius is [tex] r=5\;cm [/tex]. Substituting numerical values,
[tex] V=1334.5=\pi (5)^2 h\\
h=\frac{1334.5}{25 \pi}\\
h=16.99 [/tex]
The height of the cylinder is [tex] 16.99\;cm [/tex].
