7 (a) NOT TO SCALE 40 cm 30 cm 70 cm The diagram shows a box in the shape of a cuboid. The box is open at the top. (i) Work out the surface area of the inside of the open box. ......................................... cm2 [3] (ii) Cylinders with height 20 cm and diameter 15 cm are placed in the box. Work out the maximum number of these cylinders that can completely fit inside the box. ................................................. [3] © UCLES 2024 0580/41/M/J/24 15 (b) A solid bronze cone has a mass 750 g. The density of the bronze is 8.9 g/cm3. The ratio radius of cone : height of cone = 1 : 3. (i) Show that the radius of the cone is 2.99 cm, correct to 3 significant figures. [Density = mass ÷ volume] 1 [The volume, V, of a cone with radius r and height h is V = rr2h.] 3 [4] (ii) Calculate the total surface area of the cone. [The curved surface area, A, of a cone with radius r and slant height l is A = rrl.] ......................................... cm2 [5] © UCLES 2024 0580/41/M/J/24 [Turn over 16 2