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9. [4 marks] A confectionary factory is making a new type of sweet. The sweet is made of nougat in a cylindrical shape, and each

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9. [4 marks] A confectionary factory is making a new type of sweet. The sweet is made of nougat in a cylindrical shape, and each is of length 6cm and radius 10mm. The nougat is then coated with a thin layer of chocolate, in the manner that only the curved side is coated and the two flat ends are left bare. Using Linear Approximations (Differential Approximations), estimate the volume of chocolate needed to add a 0.7mm layer of chocolate to the sweet (The volume of a cylinder with radius r and height h is V = Trzh)

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