Question 365768
{{{S=2pi*r^2+2pi*r*h}}} Start with the surface area of a cylinder formula.



{{{S=2pi*(3)^2+2pi*(3)*(6)}}} Plug in {{{r=3}}} (the given radius) and {{{h=6}}} (the given height)



{{{S=2(3.14159265)*(3)^2+2(3.14159265)*(3)*(6)}}} Replace {{{pi}}} with {{{3.14159265}}} (note: Use more digits of {{{pi}}} to get better accuracy).



{{{S=2(3.14159265)*(9)+2(3.14159265)*(3)*(6)}}} Square {{{3}}} to get {{{9}}}.



{{{S=56.5486677+113.0973354}}} Multiply.



{{{S=169.6460031}}} Add.



So the surface area of the cylinder is approximately {{{169.6460031}}} square units.