[Curved surface area of a cone = πrl] The diagram shows a solid cone with radius r cm, height h cm and slant height l cm. Suleman makes some solid cones. The slant height of each of his cones is 4 cm more than its radius. Use π = 3 throughout this question. [Figure 8]

1. (a)Show that the total surface area, A cm², of each of Suleman's cones is given by A = 6r(r + 2) .[2]
2. (b)Complete the table for A = 6r(r + 2). r | 0 | 1 | 2 | 3 | 4 | 5 | 6 A | 0 | 18 | | | 144 | 210 | 288[1]
3. (c)On the grid opposite, draw the graph of A = 6r(r + 2) .[2]
4. (d)Find an expression for h in terms of r.[2]
5. (e)The height of one of Suleman's cones is 12 cm. Calculate its radius.[2]
6. (f)(i)Another of Suleman's cones has a surface area of 200 cm². Use your graph to find the radius of this cone.[1]
7. (f)(ii)This cone is placed in a box of height p cm, where p is an integer. Find the smallest possible value of p.[2]

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