1. Surface Area of Cylinders
Unroll a cylinder to see what shapes make
up a cylinder.

2. You have to find the area of the rectangle and the
two circles.
Given the radius of the circle and the height of the
cylinder, how are you going to be able to do
that?
Area of the circles (bases) = 2πr²
Area of the lateral rectangle = lw = (height of the
cylinder)(circumference of the circle) or h(2πr).
So, the total surface area of the cylinder is
2πrh + 2πr²

3. You can use algebra to make the
total surface area formula
shorter:
2πrh + 2πr²

4. Find the total surface area of the cylinder.
3 cm
10 cm
SA=_______________
SA=_______________
SA=_______________

5. 8 cm
8 cm
SA=_______________
SA=_______________
SA=_______________

6. I want to wrap a gift that comes in a cylindrical
canister that has a height of 18 in and a diameter
of 3 in. Will 175 in2 of gift wrap be enough to
cover the gift?
SA=_______________
SA=_______________
SA=_______________

7. Homework:
P. 554-555 #12-15, 17, 19, 20 all
Show 3 steps!
1. Formula
2. Substitution
3. Answer w/label