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We are asked to determine the volume of the cylinder. To do that we will use the following formula:
[tex]V=\pi r^2h[/tex]Where "r" is the radius and "h" is the height. Replacing the values:
[tex]V=(3.14)(4cm)^2(10\operatorname{cm})[/tex]Solving the operations:
[tex]V=502.4cm^3[/tex]Therefore, the volume is 502.4 cubic centimeters.