Surface Area of Cylinders

Name:

Class:

Date:

Show your work for each problem.

1.
What is the formula for the total surface area of a cylinder?
1. a)
2. b)
3. c)
4. d)
2.
A cylinder has radius cm and height cm. What is the area of one circular base? Use .
1. a) cm²
2. b) cm²
3. c) cm²
4. d) cm²
3.
A cylinder has radius cm. What is the area of both circular bases combined? Use .
4.
Find the lateral surface area of a cylinder with radius cm and height cm. Use .
5.
If you unroll the lateral surface of a cylinder, what shape do you get?
1. a)Rectangle
2. b)Circle
3. c)Triangle
4. d)Square
6.
Find the total surface area of a cylinder with radius cm and height cm. Use .
7.
A soup can has diameter cm and height cm. Find the total surface area. Use .
8.
Use the factored formula to find the surface area of a cylinder with radius m and height m. Use .
9.
A label wraps around a cylindrical can. Which formula gives the area of the label?
1. a)
2. b)
3. c)
4. d)
10.
A pipe has radius cm and length cm. What is the outer surface area (lateral only)? Use .
11.
If a cylinder has lateral surface area cm² and radius cm, what is its height? Use .
12.
A cylinder has total surface area cm² and height cm. Find the radius. Use .
13.
A paint can has radius cm and height cm. How many square centimeters of metal are used to make the can? Use .
14.
A storage tank has surface area m² and radius m. If you know both bases contribute m², find the height.
15.
If you double the radius of a cylinder while keeping the height the same, how does the lateral surface area change?
1. a)It doubles
2. b)It quadruples
3. c)It stays the same
4. d)It triples
16.
A company needs to print labels for 200 cans. Each can has radius cm and height cm. What total area of paper is needed? Use .