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Surface Area Of Cylinders Worksheet
Help your students prepare for their Maths GCSE with this free surface area of cylinders worksheet of 34 questions and answers
- 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.
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