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 𝜋=227.

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 180𝜋, and Daniel found it to be 666𝜋. Who is correct?

  • AMadison
  • BDaniel

Q7:

Find the diameter of the base of a cylinder if the surface area is 496𝜋 square centimeters and its height is 23 centimeters.

Q8:

The given diagram shows a cylinder of radius 𝑟 and height .

An expression for the total surface area of the cylinder is 2𝜋𝑟+2𝜋𝑟.

What does the term 2𝜋𝑟 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 2 𝜋 𝑟 ( + 1 )
  • B 2 𝜋 𝑟 ( + 𝑟 )
  • C 2 𝑟 ( + 𝑟 )
  • D 𝜋 𝑟 ( + 𝑟 )
  • E 2 𝜋 𝑟 + 𝑟

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 264𝜋, and Mason found it to be 84𝜋. Who is correct?

  • AMason
  • BIsabella

Q12:

A cylinder has a surface area of 256𝜋 square inches and a height of 8 inches. Determine its volume in terms of 𝜋.

  • A 5 1 2 𝜋 in3
  • B 2 5 6 𝜋 in3
  • C 6 4 𝜋 in3
  • D 1 2 8 𝜋 in3
  • E 2 , 0 4 8 𝜋 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 𝜋=3.14.

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.

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