a)
Volume of a cylinder is given by the formula:
[tex]V=\pi r^2h[/tex]Where
V is the volume
r is the radius
h is the height
Given,
h = 11.4
r = 3
We can find the volume:
[tex]\begin{gathered} V=\pi r^2h \\ V=\pi(3)^2(11.4) \\ V=322.164 \end{gathered}[/tex]b)
Surface area of a cylinder is:
[tex]SA=2\pi rh+2\pi r^2[/tex]We substitute what we know and get our answer:
[tex]\begin{gathered} SA=2\pi rh+2\pi r^2 \\ SA=2\pi(3)(11.4)+2\pi(3)^2 \\ SA=68.4\pi+18\pi \\ SA=271.296 \end{gathered}[/tex]