# Worksheet: Surface Areas of Cylinders

In this worksheet, we will practice calculating surface areas of cylinders and solving word problems in real-world context.

Q1:

Determine, to the nearest tenth, the surface area of a tin can with a radius of 8 centimeters and a height of 16 centimeters.

Q2:

Determine, to the nearest tenth, the lateral surface area of the cylinder shown. Q3:

Find, to the nearest tenth, the total surface area of this cylinder. Q4:

There are two cylinders. The first is of radius 7 and height 4 and the second is of radius 6 and height 7. Which cylinder has the larger surface area?

• Athe second cylinder
• Bthe first cylinder

Q5:

Find the surface area of a cylinder whose base is a circle of radius 21 cm and whose height is 9 cm. Use .

Q6:

Madison and Daniel were calculating the surface area of a cylinder of height 28 and radius 9. Madison found the surface area to be , and Daniel found it to be . Who is correct?

• BDaniel

Q7:

Find the diameter of the base of a cylinder if the surface area is square centimeters and its height is 23 centimeters.

Q8:

The given diagram shows a cylinder of radius and height .

An expression for the total surface area of the cylinder is .

What does the term represent? • Athe curved surface area
• Bthe area of the base of the cylinder
• Cthe area of a circular face
• Dthe area of the two circular faces
• Edouble the area of the curved surface

Factor the total surface area expression completely.

• A
• B
• C
• D
• E

Q9:

Determine, to the nearest tenth, the surface area of the cylinder shown. Q10:

Determine, to the nearest tenth, the surface area of a cylindrical barrel of diameter 22 inches and height 2.2 inches.

Q11:

Isabella and Mason were calculating the surface area of a cylinder of height 16 and radius 6. Isabella found the surface area to be , and Mason found it to be . Who is correct?

• AMason
• BIsabella

Q12:

A cylinder has a surface area of square inches and a height of 8 inches. Determine its volume in terms of .

• A in3
• B in3
• C in3
• D in3
• E in3

Q13:

A cylinder has a curved surface area of 656 cm2 and a diameter of 10.2 cm. Find its volume, giving your answer to the nearest cubic centimeter.

Q14:

Find the surface area of a circular cylinder whose volume is 1,256 cm3 and whose height is 16 cm. Use .

Q15:

A cylinder has a volume of 997 cm3 and a height of 2.2 cm. Find the curved surface area of this cylinder to the nearest square centimeter.