8 (a) 33..66 ccmm 6.5 cm NOT TO SCALE 5.4 cm The diagram shows a solid formed by joining two hemispheres and a cylinder. The radius of the large hemisphere is 5.4 cm. The radius of the small hemisphere and the radius of the cylinder are both 3.6 cm. The height of the cylinder is 6.5 cm. (i) Show that the volume of the solid is 692cm3, correct to the nearest cubic centimetre. 4 [The volume, V, of a sphere with radius r is V = rr3.] 3 [4] (ii) A mathematically similar solid is made of silver. In this solid, the cylinder has radius 0.6 cm. 1cm3 of silver has a mass of 10.49 grams. Calculate the total mass of this silver solid. ...............................................g [4] © UCLES 2023 0580/41/O/N/23 13 (b) A 10 cm NOT TO O 216° SCALE B AOB is a sector of a circle, centre O. AO = 10cm and the sector angle is 216°. (i) Calculate the length of the arc of this sector. Give your answer as a multiple of r. .............................................cm [2] (ii) A cone is made from this sector by joining OA to OB. Calculate the volume of the cone. 1 [The volume, V, of a cone with radius r and height h is V = rr2h.] 3 ......................................... cm3 [4] © UCLES 2023 0580/41/O/N/23 [Turn over 14 2x-1