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Lesson: Surface Area of a Cylinder

In this lesson, we will learn how to calculate the surface area of a cylinder and solve word problems in a real-world context.

Video

11:28

Sample Question Videos

03:29
02:27
02:22

Worksheet • 19 Questions • 3 Videos

Q1:

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

Q2:

If the height of a cylinder is doubled, will its surface area also double?

  • Ayes
  • Bno

Q3:

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

Q4:

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

Q5:

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 first cylinder
  • Bthe second cylinder

Q6:

A cylinder has a volume of 900 cm3 and a base with a diameter of 14 cm. Find the height of the cylinder to two decimal places.

Q7:

Find the surface area of a cylinder whose base is a circle of radius 21 cm and whose height is 9 cm. Use 𝜋 = 2 2 7 .

Q8:

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

  • ADiana
  • BSteven

Q9:

Find the diameter of the base of a cylinder if the surface area is 4 9 6 𝜋 square centimeters and its height is 23 centimeters.

Q10:

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

An expression for the total surface area of the cylinder is 2 𝜋 𝑟 ℎ + 2 𝜋 𝑟 2 .

What does the term 2 𝜋 𝑟 2 represent?

  • Athe area of the two circular faces
  • Bthe area of the base of the cylinder
  • Cthe area of a circular face
  • Ddouble the area of the curved surface
  • Ethe curved surface area

Factor the total surface area expression completely.

  • A 2 𝜋 𝑟 ( ℎ + 𝑟 )
  • B 2 𝑟 ( ℎ + 𝑟 )
  • C 2 𝜋 𝑟 ( ℎ + 1 )
  • D 𝜋 𝑟 ( ℎ + 𝑟 )
  • E 2 𝜋 𝑟 ℎ + 𝑟 2

Q11:

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

Q12:

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

Q13:

Two similar cylinders have radii of 3 inches and 20 inches. What is the ratio of the surface area of the smaller cylinder to that of the larger one?

  • A 9 ∶ 4 0 0
  • B 3 ∶ 4 0 0
  • C 4 0 0 ∶ 9
  • D 2 0 ∶ 3
  • E 3 ∶ 2 0

Q14:

Bassem wants to wrap a solid cylinder with a sheet of paper. The radius of the cylinder is 10 cm and its length is 40 cm. The dimensions of the sheet of paper are 4 0 × 3 5 c m c m . What proportion of the cylinder will he be able to cover? Give your answer to two decimal places.

Q15:

Calculate the radius of a cylinder with volume 1 7 6 𝜋 cm3 and height 11 cm.

Q16:

A cylinder has a volume of 5 3 5 𝜋 cm3, and a radius of 11.9 cm. Find its height to the nearest centimetre.

Q17:

A cylinder with a radius of 5 inches has a volume of 9 2 𝜋 cubic inches. Work out the height of the cylinder, giving your answer as a decimal.

Q18:

Three tennis balls are packaged one on top of the other in a can. Which measure is greater, the can’s height or circumference?

  • Athe can’s height
  • Bthe can’s circumference

Q19:

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

  • ASteven
  • BDiana
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