March 28: How do we calculate the surface area of cylinders? (AIM)

Aim: How do we calculate the surface area of a cylinder? 

• To find the surface area of a any figure, you must have the right idea of what surface area is. 

• Surface area if one of the properties to a solid (which is 3-Dimensional). It covers the outside of the figure, unlike the volume (which is the inside).

• When calculating the surface area of a cylinder, you should remember that it's always easier to break the figure down into smaller shapes. For example:

So this figure shows
how there are 2
circles & a rectangle
in a cylinder.

• So for surface area you'll basically need the formula of a rectangle + 2 times the formula for a circle. Which gives you the SA formula. 

• So if that's how you find surface area, then how do you find lateral area? Well you basically just subtract the the bases. 

So lateral area is
the rectangle of
the cylinder. 

• Now that this is somewhat down-packed, try this problem. Don't worry its not hard ?! 

A cylinder has a radius of 8 inches and a height of 12 inches. What are the surface area of this cylinder?

1. SA = 320π
2. SA = 208π
3. SA = 480π

Sources Cited:

1. John Schnatterly AKA -->  http://johnschnatterly.blogspot.com/
2. http://www.mathsteacher.com.au/year8/ch10_geomcons/09_cones/cylinder.html
3. http://teamshen.blogspot.com/2010/04/how-does-surface-area-of-cylinder.html
4. http://www.mathguide.com/lessons/SurfaceArea.html