Question: (a) Figure 2 shows a cuboid and a solid sphere (not drawn to scale). Edge AB has length 25 cm, and the diagonal AC has

(a) Figure 2 shows a cuboid and a solid sphere (not drawn to scale). Edge AB has length 25 cm, and the diagonal AC has length 28 cm. The radius r of the sphere is 12 cm. D 25 cm B A r =12 cm 28 cm Figure 2 Give your answers to each of the following to two significant figures. (i) Find the surface area of the sphere. 12] (ii) Find the volume of the sphere. [21 (iii) Use Pythagoras' Theorem in triangle ABC to find the length of side BC. [2] (iv) If the volume of the sphere is equal to the volume of the cuboid, find the depth AD of the cuboid, showing your working at each stage. [4]

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