  Master the 7 pillars of school success ​A sporting good store sells cylinder shaped weights, and needs to know how much plastic is needed to cover the weights for shipping. The cylinder shaped weights have a diameter of 12 inches, and a height of 8 inches.

SA = Lateral Area + 2 Base areas
SA = pi x 2r x h + 2 pi r^2
SA = pi x 12 x 8 + 2 pi 6^2
SA = 96 pi + 72 pi
SA = 168 pi or 527.52 square inches
The lateral area of a cylinder is 47.1 cm. The height of the cylinder is 6 units. What is the radius of the cylinder?

Lateral Area = pi x 2r x h
47.1 = pi x 2r x 6
47.1/(6 pi) = 2r
2.5 = 2r
1.25 = r

## Lateral Area of a Cylinder

The total surface area of a cylinder is the total area of each of its faces. The formula for calculating the surface area combines each of the following.
• Area of  two circular bases
• The circumference of a circle
• The height of the cylinder

To summarize, to find the surface area of a cylinder, take the area of the two circular bases, and add this to the lateral area of the cylinder.

Formula for the surface area of a cylinder equals

Related Sites

Volume and Surface Area of Cylinders (A) Measurement Worksheet/Math Drills
Helpful worksheets, and example problems in which you calculate the surface area of a cylinder.

Surface Area Cylinder/Algebralab
Several practice problems,directions,and hints for calculating cylinder surface area.

Great site,sample problems,step by step solutions to many surface area problems    Transcript

# Surface Area of a Cylinder

Height = A to B ​A
​B
C
D Find the surface area of a cylinder with the following dimensions:

Height = 5 units
Diameter = 2* radius = 2 * 2 =4

Step 1 Find the lateral area
Diameter* π*height
4* π*5=20π

Step 2 Find the area of the two bases 2πr^2 Which equals 2π2^2=8π

Step 3 Add the lateral area and the base area together
20π+ 8π=28π units^2

Two Bases
Lateral Area 5
2
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### Calculating the Surface Area of a Cylinder ## Surface area cylinder word problem

Based on the information presented either of the following formulas will calculate the lateral area of a cylinder. ​If given the diameter of the cylinder use:
​If given the radius of the cylinder use:

2πr*h  = 2 times pi times radius times height
= diameter times pi times height
You can think of the lateral area as the label of a can. It is the area of the sides of the can. If you unrolled the label you would have a flat surface
d= diameter of the circular base
h= height of the cylinder
​r = radius of the circular base

## Surface area cylinder problem.

Common Core Standard :  7.G.6 