Solving mathematical and real-world problems involving surface area of cylinders

Find the surface area of the cylinder.  

• SA = 250π in²
• SA = 250 in²
• SA = 150π in²
• SA = 150 in²

Jacob uses an empty can for a project. It has a diameter of 4in. and height of 8 in. He peels off the label of the can and finds the area of the label. What is the approximate area of the can label? Use 3.14 for pi.

• 56.52 in²

• 100.48 in²

• 70.65 in²

• 169.56 in²

What is the difference between lateral and total surface area?

• Total surface area involves the bases
• Lateral surface area involves the bases
• There is no difference 

What is the total surface area of the cylinder? 

Suppose an aluminum can is 6 inches tall with a radius of 3 inches. Which measurement best describes the amount of aluminum it takes to make the can?

• 113 in²

• 28 in²

• 57 in²

• 170 in²

Find the surface area  of the cylinder.

• 4396 cm
• 3768 cm²
• 1512 cm
• 2512 cm²

What is the difference between lateral and total surface area?

• Total surface area solves for perimeter of all the sides where lateral solves for area.

• Total surface area is the sum of the area of all the sides where lateral surface area is the sum of the area of only the sides. (Not including the bases or top and bottom).

• Total surface area can only be used for prisms and lateral surface area can only be used for cylinders and cones.

• None of the above.

Find the surface area: r= 4 and h=6

(a)  

What is the surface area of the cylinder to the nearest square inch?

• 625 in²

• 1300 in²

• 1046 in²

• 414 in²

Find the lateral surface area of the cylinder. This is similar to the label on the soup can problem.

• 471.24 square centimeters

• 157.08 square centimeters

• 314.16 square centimeters

• 296.72 square centimeters