Respuesta :

Given data:

The diamter is equal to height of the cylinder D=H=S.

The expression for the Volume of the cylinder is,

[tex]V=\frac{\pi}{4}D^2H[/tex]

Substitute the given values in the above expression.

[tex]\begin{gathered} V=\frac{\pi}{4}(S)^2S \\ =\frac{\pi}{4}S^3 \end{gathered}[/tex]

Thus, the volume of the cylinder is πS^(3) /4.