The height of the cylinder is 2 units.
The volume of a cylinder is the density of the cylinder which signifies the amount of material it can carry or how much amount of any material can be immersed in it.
The volume of the cylinder can be represented by the following formula;
[tex]\rm Volume \ of \ cyclinder=\pi r^2h[/tex]
Substitute all the values in the following formula.
[tex]\rm Volume \ of \ cyclinder=\pi r^2h\\\\157=\pi (5)^2h\\\\h = \dfrac{157}{25 \times 3.14}\\\\h = \dfrac{157}{78.5}\\\\h=2[/tex]
Hence, the height of the cylinder is 2 units.
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