Art of Smart Year 12 Term 2 Year 12 Advanced Mathematics . . . . . . . . . .... 3. A sector with radius 10 cm and angle 0 is used to form the curved surface of a com . . . . . .. . . .. with base radius x cm, as shown in the diagram. . . . . . . . . .. . . . ...... 10 cm 10 cm . . . . ... ...... x cm .....' The volume of a cone of radius r and height h is given by V = =mr2h a. Show that the volume, V cm of the cone described above is given by V = =1x2/100 -x2. . . . . . . . . . . . . . . . . . . . .... . . . . . . . . . . . . . . . ... . . . . ...... . . . . . . . . . . . . . . . ... . . . . ...... . . . . . . . .. ...... . . . . . . .. . . . . ... . . . . . . . . . . .. ... . . . . . . . . . . . . . . . .. b. Show that dV Tux(200 - 3x2) dx 3V100 - x2