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 𝐴𝐡𝐢𝐷 is a rectangle with 𝐴𝐡=20cm and 𝐴𝐷=44cm. The net is formed into a cylinder by joining 𝐴𝐡 with 𝐷𝐢, 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 πœ‹ as 227.

Q2:

The given diagram shows a cylinder of radius π‘Ÿ and height β„Ž.

An expression for the total surface area of the cylinder is 2πœ‹π‘Ÿβ„Ž+2πœ‹π‘ŸοŠ¨.

What does the term 2πœ‹π‘ŸοŠ¨ 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.

  • A2πœ‹π‘Ÿ(β„Ž+1)
  • B2πœ‹π‘Ÿ(β„Ž+π‘Ÿ)
  • C2π‘Ÿ(β„Ž+π‘Ÿ)
  • Dπœ‹π‘Ÿ(β„Ž+π‘Ÿ)
  • E2πœ‹π‘Ÿο€Ήβ„Ž+π‘Ÿο…οŠ¨

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 434πœ‹ 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 72πœ‹ cm2. Find the height of the cylinder.

  • A36 cm
  • B13.33 cm
  • C18 cm
  • D3√2 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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