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Spheres and Cones

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Question 3
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Diagram of a rectangular container with dimensions 15 cm (length), 12 cm (width), and 12 cm (height).

A rectangular container is 15 cm long, 12 cm wide and 12 cm high. The container is filled with water to a depth of 8 cm.

A metal sphere of radius 4 cm is placed in the water. It sinks to the bottom.

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

Diagram of a sphere with radius r.

Calculate the rise in the water level. Give your answer correct to 3 significant figures.

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Spheres and Cones Questions

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

Practise OCR GCSE Maths Spheres and Cones with exam-style questions for Foundation and Higher tier. 25 questions, matched to the OCR GCSE Maths (J560) specification and written in the written papers 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