Surface area of composite solids

Sample Surface area of composite solids questions

A few of the 7 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

1. Question 12 marksGrade 3-4
   A solid is made from a cylinder of radius $10$ cm and height $4$ cm, with a solid hemisphere of the same radius fixed on top. Calculate the total surface area of the solid. Give your answer correct to 1 decimal place. Remember the solid has one flat circular base, at the bottom of the cylinder.

What are the common mistakes in Surface area of composite solids?

When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.

• Omits a circular base's area when finding the surface area of a composite solid involving a cylinder

  Added the cylinder's curved surface and the hemisphere's curved surface but forgot the flat circular base of the cylinder, $\pi r^2$, which is still part of the outer surface.

• Completes a calculation correctly in one unit but fails to convert to the units requested, or applies a linear conversion factor instead of the correct area/volume one.

  Correctly calculates the surface area in square metres (6 × 0.9² = 4.86 m²) but forgets to convert this to square centimetres (multiplying by 10,000, not 100, since it's an AREA conversion), or converts incorrectly.

• Forgets to add both arc lengths

  Added up the curved and end-face areas (all multiples of $\pi$

Quick answers about Surface area of composite solids

How many Surface area of composite solids practice questions are there?

There are 7 self-marking GCSE Maths questions on Surface area of composite solids, written for AQA, Pearson, OCR across Foundation tier. Each one is marked instantly and has a full worked solution.

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