Total and Lateral Surface Area of Cylinders

What is the total surface area formula for a cylinder?

• SA = πrl + πr²

• SA = 2πrh + 2πr²

• SA = 4πr²

• SA = πr²h

What is lateral surface area?

• The area of all of the sides (including bases or top and bottom).

• The area of only the sides (not including the bases or top and bottom).

• The perimeter of the base.

• The area of the base.

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.

A cylindrical container has a height of 8 inches and a radius of 3 inches. Which of the following is closest to the total surface area of the cylindrical container?

• 125.67 in²

• 185.28 in²

• 210.45 in²

• 207.35 in²

What is the total surface area of the cylinder shown?

• 376.99 ft²

• 534.07 ft²

• 753.98 ft²

• 1,382.30 ft²

What is the lateral surface area of the cylinder shown?

• 376.99 ft²

• 534.07 ft²

• 753.98 ft²

• 1,382.30 ft²

A cylindrical container has a diameter of 8 inches and a height of 12 inches. If the label of the container covers all but the top and the bottom, which measurement is closet to the area of the label?

• 150.88 in²

• 301.59 in²

• 402.12 in²

• 603.24 in²

What is the total surface area of the cylinder in terms of π?

• 672π ft²

• 4,608π ft²

• 336π ft²

• 1,824π ft²

What is the lateral surface area of the cylinder shown?

• 2,111.15 ft²

• 4,222.30 ft²

• 14,476.46 ft²

• 5,730.27 ft²

Jackie has a cylindrical tube to store her posters. The dimensions of the cylinder are shown in the diagram. Which measurement is closest to the total surface area of the cylindrical tube in square inches?

• 565.2 in²

• 621.72 in²

• 280.6 in²

• 296.88 in²