Questions and Video Solutions for C2 Edexcel Core Mathematics June 2009
Edexcel Core Mathematics C2 June 2009 Past Paper
Figure 2 shows a closed box used by a shop for packing pieces of cake. The box is a right prism of height h cm. The cross section is a sector of a circle. The sector has radius r cm and angle 1 radian.
The volume of the box is 300 cm3
(a) Show that the surface area of the box, S cm2 , is given by S = r2 + 1800/r
(b) Use calculus to find the value of r for which S is stationary.
(c) Prove that this value of r gives a minimum value of S.
(d) Find, to the nearest cm2, this minimum value of S.
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