4 (a) F 9 cm NOT TO SCALE D C 12 cm M E B 12 cm The diagram shows a pyramid with a square base BCDE. The diagonals CE and BD intersect at M, and the vertex F is directly above M. BE = 12 cm and FM = 9 cm. (i) Calculate the volume of the pyramid. 1 [The volume, V, of a pyramid with base area A and height h is V = Ah .] 3 ......................................... cm3 [2] (ii) Calculate the total surface area of the pyramid. ......................................... cm2 [5] © UCLES 2024 0580/42/F/M/24 9 (b) NOT TO SCALE 3r r The diagram shows a toy made from a cone and a hemisphere. The base radius of the cone and the radius of the hemisphere are both r cm. The slant height of the cone is 3r cm. The total surface area of the toy is 304cm2. Calculate the value of r. [The curved surface area, A, of a cone with radius r and slant height l is A = rrl.] [The curved surface area, A, of a sphere with radius r is A = 4rr2.] r = ................................................ [4] © UCLES 2024 0580/42/F/M/24 [Turn over 10