Find the lateral surface area and volume of the cylinder shown in the picture.Simplify your answer & round to the nearest hundred is needed.

The lateral surface area of a cylinder with radius r and height h is
[tex]A=2\pi rh[/tex]Here r=47.6cm and h=83.6cm
So lateral surface area is
[tex]\begin{gathered} A=2\pi\times47.6\times83.6 \\ A=25003.056cm^2 \\ A=25003.06\operatorname{cm} \end{gathered}[/tex]The volume of the cylinder is
[tex]\begin{gathered} V=\pi r^2h \\ V=\pi\times(47.6)^2\times83.6 \\ V=595072.740 \\ V=595072.74 \end{gathered}[/tex]