Question 1057180
Surface area is area of the side plus the 2 "end caps":

The end caps are {{{(pi)r^2}}} each, so they contribute {{{ 2(pi)r^2 }}}
The area of the side part is circumference * height or {{{ 2(pi)rh }}}  (to visualize this imagine you take the side of a can, cut it vertically and then "unroll" it so it lies flat, forming a rectangle of {{{h x 2(pi)r}}})

{{{ A = 2(pi) rh + 2(pi) r^2 }}}

Plugging in r=6cm and h=16cm:

{{{ A=2(pi)(6)(16) + 2(pi)(6^2) }}}
{{{ A=192(pi) + 72(pi) }}}
{{{ A=264(pi) }}}
{{{ A=829.38046 }}} 
Answer:  {{{ Area = 829.38 }}} {{{cm^2}}}