# Lesson Worksheet: Surface Areas of Cylinders Mathematics • 8th Grade

In this worksheet, we will practice calculating surface areas of cylinders and using them to solve problems in real-life situations.

Q1:

The diagram below shows the net of a cylinder where is a rectangle with and . The net is formed into a cylinder by joining with , then folding over the two circles of radii 7 cm to make the top and the base. What is the total surface area of the cylinder? Use as .

Q2:

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.

• A
• B
• C
• D
• E

Q3:

Determine, to the nearest tenth, the lateral surface area of the cylinder shown. Q4:

Calculate the lateral surface area of the cylinder below rounded to one decimal place. Q5:

Find the diameter of the base of a cylinder if the lateral surface area is square centimeters and the height is 31 centimeters.

Q6:

The height of a cylinder is equal to its base radius, and the surface area is cm2. Find the height of the cylinder.

• A36 cm
• B13.33 cm
• C18 cm
• D cm
• E6 cm

Q7:

Determine the height of a cylinder given that its total surface area is 100 cm2 and its radius equals its height. Round your answer to two decimal places.

Q8:

Determine the height of a cylinder given that its total surface area is 100 cm2 and its base area is 20 cm2. Round your answer to two decimal places.

Q9:

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

Q10:

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