3 12 cm NOT TO SCALE 3 cm The diagram shows a cylinder containing water. There is a solid metal sphere touching the base of the cylinder. Half of the sphere is in the water. The radius of the cylinder is 12 cm and the radius of the sphere is 3 cm. (a) The sphere is removed from the cylinder and the level of the water decreases by h cm. Show that h = 0.125 . 4 [The volume, V, of a sphere with radius r is V = rr3.] 3 [3] © UCLES 2023 0580/42/F/M/23 7 (b) The water in the cylinder is poured into another cylinder of radius R cm. The depth of the water in this cylinder is 18 cm. Calculate the value of R. R = ................................................ [3] (c) The sphere is melted down and some of the metal is used to make 30 cubes with edge length 1.5 cm. Calculate the percentage of metal not used. 4 [The volume, V, of a sphere with radius r is V = rr3.] 3 ............................................. % [3] © UCLES 2023 0580/42/F/M/23 [Turn over 8