Worksheet: Surface Area of a Cylinder

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:

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 a circular face
• Cdouble the area of the curved surface
• Dthe area of the two circular faces
• Ethe area of the base of the cylinder

Factor the total surface area expression completely.

• A
• B
• C
• D
• E

Q5:

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.

Q6:

Jacob 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 . What proportion of the cylinder will he be able to cover? Give your answer to two decimal places.

Q7:

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
• B
• C
• D
• E

Q8:

A cylinder has a volume of cm3, and a radius of 11.9 cm. Find its height to the nearest centimeter.

• A 45 cm
• B 2 cm
• C 22 cm
• D 4 cm

Q9:

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

Q10:

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

Q11:

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

• Athe canโs circumference
• Bthe canโs height

Q12:

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

Q13:

Calculate the radius of a cylinder with volume cm3 and height 11 cm.

Q14:

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?

• ASteven
• BDiana

Q15:

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?

• BSteven

Q16:

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

Q17:

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

Q18:

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

• Ano
• Byes

Q19:

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