Surface Area Volume of Cylinders

A company is producing wheels of cheese to distribute. If the cheese wheel has a diameter of 8 in and a height of 5 in, calculate the amount of cheese needed to create 3 wheels.

• 678.6 in²

• 251.2 in³

• 3,014.4 in³

• 753.6 in³

What is the surface area formula for a cylinder?

• SA = πrl + πr²

• SA = 2πrh + 2πr²

• SA = 4πr²

• SA = πr²h

What is surface area?

• Inside of the object

• The sum of all the areas of all the shapes that cover the surface of the object.

• Something Mrs. MacGregor made up?

• Surface area is what you get when you boil unicorn tears. 

There are many cylinders with a height of 5 inches. Let r represent the radius in inches and V represent the volume in cubic inches. If a cylinder with height 5 inches and radius r is filled with water, it can fill a certain pitcher. How many of these pitchers can a cylinder with height 5 inches and radius 2r fill? Explain how you know.

• 2 Pitchers because if you double the radius of a cylinder, the volume also gets doubled.

• 4 Pitchers because if you double the radius of a cylinder the volume gets quadrupled.

• 6 Pitchers because if you double the radius of a cylinder the volume gets quadrupled and 2 + 4 = 6.

The diameter and height of a cylindrical container are shown. The container is covered completely with plastic. Which of these represents the total number of square inches of plastic covering the container.

• A

• B

• C

• D

Which of the following is the closest to the surface area of the cylinder shown?

• A

• B

• C

• D

Charlie’s Tuna Company makes small cylindrical cans of tuna and wraps each of them in plastic prior to shipping. If the diameter of the can is 5 in. and the height of the can is 2 in., how many square inches of plastic is needed to individually wrap 10 cans without overlapping?

• A

• B

• C

• D

What is the minimum amount of sand needed to fill a cylinder?

• Surface Area

• Volume

• Circumference

• Perimeter

The height of a soda can was 6 inches and the diameter of the top and the bottom was 3 inches. Which of the following would be used to find the amount of soda in the can?

• Area

• Volume

• Surface Area

• Perimeter

Jillian has a cylindrical canister that has a diameter of 10 inches and a height of 12 inches. Which of the following would she find if she wanted to paint it a new color?

• Perimeter

• Area

• Surface Area

• Volume