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Surface Area Of Cylinders Worksheet

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.

 

GCSE maths worksheets

 

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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