# Surface Area Of Cylinders Worksheet • Section 1 of the surface area of cylinders worksheet contains 27 skills-based surface area of cylinders questions, in 3 groups to support differentiation
• Section 2 contains 4 applied surface area of cylinders questions with a mix of word problems and deeper problem solving questions
• Section 3 contains 3 foundation and higher level GCSE exam style surface area of cylinders questions
• Answers and a mark scheme for all surface area of cylinders questions are provided
• Questions follow variation theory with plenty of opportunities for students to work independently at their own level
• All questions created by fully qualified expert secondary maths teachers

Suitable for GCSE maths revision for AQA, OCR and Edexcel exam boards

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### Surface area of cylinders at a glance

Surface area is a measure of the total area of all of the faces of a 3D shape. A cylinder has 3 faces, two circular ends joined by a curved surface, which once unfolded is a rectangle. We know that the area of a circle is given by πr^2 , where r is the radius of the circle.

If we were to draw a net of a cylinder, the curved surface in the middle would open up to a rectangle with height h , the height of the cylinder, and length 2πr , the circumference of the circular base. For this reason, the curved surface area (also called lateral surface area) of a cylinder is given by 2πrh .

The total surface area of the cylinder is found by adding the areas of the three faces to give \text{Surface area} = 2π(r^2)+2πrh

Surface area of a cylinder is measured in square units such as cm^2 or mm^2 . We might be asked to give an answer in terms of pi or to round to a given number of decimal places or significant figures.

Looking forward, students can then progress to additional surface area worksheets and other geometry worksheets, for example a simplifying expressions worksheet or simultaneous equations worksheet. For more teaching and learning support on Geometry our GCSE maths lessons provide step by step support for all GCSE maths concepts.

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