Question 307436
The total surface area consists of the lateral (side) area and two end pieces (circles).


Lateral area is actually the distance around the base (circumference) which is {{{2*pi*r}}} times the height which is h.  

Lateral area = {{{2*pi*r*h}}}
Lateral area = {{{2*pi*6*8=96*pi}}}


Each end piece is a circle whose area is {{{A=pi*r^2=36*pi}}}


The grand total = {{{96*pi + 2* 36*pi}}}
Total Area = {{{96*pi + 72*pi=168*pi}}}


Please see my own website for additional explanation on Geometric problems.  Do a Google search for my name "dr robert j rapalje," and look for "Rapalje Homepage" near the top of the list.  Then look for the link called "Topics from Geometry" near the bottom of the page.  Several sections might be helpful to you, and it's all FREE!!!


Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus