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Spheres and Cones

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Question 1
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The diagram shows a sphere and a cube.

Diagram of a sphere with radius r. Diagram of a cube with side length 6 cm.

The cube has length 6 cm. The sphere and the cube have the same volume.

Volume of sphere=43πr3 \text{Volume of sphere} = \frac{4}{3}\pi r^3 Volume of sphere=34​πr3 Surface area of sphere=4πr2 \text{Surface area of sphere} = 4\pi r^2 Surface area of sphere=4πr2

Small diagram of a sphere with radius r.

Work out the radius of the sphere. Give your answer correct to 3 significant figures.

[3]

Spheres and Cones Questions

  1. GCSE
  2. /Maths
  3. /Spheres and Cones

Practise AQA GCSE Maths Spheres and Cones with exam-style questions for Foundation and Higher tier. 25 questions, matched to the AQA GCSE Maths (8300) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank