March 28,2012


Aim:How do we find the surface area and lateral area of a cylinder?


To find the surface area of a cylinder we first need a formula.





when having the formula we then apply it to the cylinder.
A cylinder has two bases that are circles.
if we didnt know the equation we could solve the area for the circle and multiply it by 2 since there is two circles.


After we have the area of the circle we then have to find the area of the other part of the cylinder which is called the lateral area. The lateral area and the area of the two bases are the total surface area.




For example:
     
2= raduis
6= height


To find the total surface area we need the formula.
SA= 2πrh+2πr ²


PLUG IN:
SA= 2*π*2*6+ 2*π*(2) ²

Solve parts of the equations.( leave in terms of π if told so)
SA= 2πrh
2* π*2*6
2*2*6= 24 
add the π 


 First part of the equation would be: 24π


Second part of the equation:
SA= 2πr ²
2*π*(2)2
(2)2 =4
so 4*2= 8
 plus π
answer to the second half: 8π

ADD them together and the answer would be 30 π 
          
NOW YOU TRY:D


A cylinder has a height of 8 and a radius of 4 
find the surface area.
leave in terms of π.

SOURCES USED:
http://www.mathwarehouse.com/solid-geometry/cylinder/images/cylinder-area-problem1.jpg
http://www.regentsprep.org/regents/math/algebra/AS2/Solids.htm