Question: Question 5 - 20 marks This question is based on your work on MU123 up to and including Unit 8. (a) Figure 2 shows a

Question 5 - 20 marks This question is based on your work on MU123 up to and including Unit 8. (a) Figure 2 shows a cuboid and a cone (not drawn to scale). Edge BC has length 16 cm, and the diagonal AC has length 42 cm. The radius r of the cone is 15 cm, the height h is 20 cm and the slant height l is 25 cm. B A 1 = 25 cm h =20 cm 16 cm 42 cm r =15 cm Figure 2 Give your answers to each of the following to two significant figures. (i) Find the surface area of the cone. 12] (ii) Find the volume of the cone. [2] (iii) Use Pythagoras' Theorem in triangle ABC to find the length of side AB. [2] (iv) If the volume of the cone is equal to half the volume of the cuboid, find the depth AD of the cuboid, showing your working at each stage. [4]

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