Help your students prepare for their Maths GCSE with this free volume and surface area of cylinder worksheet of 34 questions and answers
The volume of a 3D shape is the amount of space enclosed inside it, and the surface area is the total area of all of the faces that make up its surface.
A prism is a geometric shape with flat faces that has a constant cross-section. A cylinder is not a prism, because it has curved faces, but the principle for working out the volume of a cylinder is the same as for prisms. First, we calculate the area of the circular face, then multiply by the length or height of the cylinder – this will give the volume of the cylinder.
To calculate the surface area of a cylinder we need to calculate the area of each face and add them together. There are two circular faces at either end which we calculate the area of by using the formula for area of a circle – pi r squared. There is also a curved surface that is rectangular with one side length forming the height of the cylinder and the other side length forming the circumference of the circular face. We work out each part individually and then sum together to find the total surface area of the cylinder.
Students are often asked to give their final answer to a number of decimal places or significant figures so it is important that they only round their answers when they have completed the question.
Looking forward, students can then progress to additional geometry worksheets, for example a 3D shapes worksheet or an angles in polygons worksheet.
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