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
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