# Worksheet: Surface Area of a Cylinder

In this worksheet, we will practice calculating the surface area of a cylinder and solve word problems in a real-world context.

**Q2: **

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

- Ano
- Byes

**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 second cylinder
- Bthe first cylinder

**Q6: **

A cylinder has a volume of 900 cm^{3}
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 .

**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?

- ASteven
- BDiana

**Q9: **

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

**Q10: **

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

**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
- B
- C
- D
- E

**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 . 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 cm^{3}
and height 11 cm.

**Q16: **

A cylinder has a volume of cm^{3},
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 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 circumference
- Bthe can’s height

**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?

- ADiana
- BSteven