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:

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

AHannah
BMichael

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.

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:

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

AMason
BEmma

Q12:

Calculate the lateral surface area of the cylinder below rounded to one decimal place.