Answer for Additional Mathematics Project 2, 2011

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Part I

Cakes cone in a variety of forms and flavours and are among favourite desserts served during special occasions such as birthday parties, Hari Raya, weddings and etc. Cakes are treasured not only because of their wonderful taste but also in the art of cake baking and cake decorating. Find out how, mathematics is used in cake baking and cake decorating and write about your findings.

Part II
Best Bakery shop received an order from your school to bake a 5 kg of round cake as shown in Diagram 1 for the Teachers' Day celebration.

1) If a kilogram of cake has a volume of 3800cm³, and the height of the cake is to be 7.0 cm, calculate the diameter of the baking tray to be used to fit the 5 kg cake ordered by your school. [Use π = 3.142]

2) The cake will be baked in an oven with inner dimensions of 80.0 cm in length, 60.0 cm in width and 45.0 cm in height.

a) If the volume of cake remains the same, explore by using different values of heights, h cm, and the corresponding values of diameters of the baking tray to be used, d cm. Tabulate your answers.

(b) Based on the values in your table,
(i) state the range of heights that is NOT sui table for the cakes and explain your answers. (ii) suggest the dimensions that you think most suitable for the cake. Give reasons for your answer.

(c) (i) Form an equation to represent the linear relation between h and d. Hence, plot a suitable graph based on the equation that you have formed. [You may draw your graph with the aid of computer software.]

(ii) (a) If Best Bakery received an order to bake a cake where the height of the cake is 10.5 cm, use your graph to determine the diameter of the round cake pan required. (b) If Best Bakery used a 42 cm diameter round cake tray, use your graph to estimate the height of the cake obtained.

3) Best Bakery has been requested to decorate the cake with fresh cream. The...
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