The surface area of a cylinder is given by:
[tex]SA=2\pi r^2+2\pi rh[/tex]And the volume by:
[tex]V=\pi r^2h[/tex]Where:
r = radius = 4in
h = height = 6in
so:
[tex]\begin{gathered} V=(3.14)(4^2)(6) \\ V=301.44in^3 \end{gathered}[/tex][tex]\begin{gathered} SA=2(3.14)(4^2)+2(3.14)(4)(6) \\ SA=100.48+150.72 \\ SA=251.2in^2 \end{gathered}[/tex]