- 2 Appenzeller Is Having Its Stock Of Cheese Wheels Scanned And Analysed For Quality The Standard Cheese Wheel Can Be M 1 (79.51 KiB) Viewed 237 times
2. Appenzeller is having its stock of cheese wheels scanned and analysed for quality. The standard cheese wheel can be modelled in Euclidean space by the set W given by ER3 : yỉ + y2 + y} < where units are in m. (a) Sketch a side elevation of the set W in a copy of the (y1, y3)-plane RSketch the set Win a copy of Euclidean space R3. (4 marks) (b) It is convenient to describe the set W by using spherical coordinates, namely by W= {* r cos sin r sin sin r Cos ER3:050327, 0505T, and O SRSR(O) < Rcm] for some function R of the azimuthal angle y. Determine the function R. (10 marks) (c) Tomography reveals that the density plot p for a given cheese wheel is given in spherical coordinates by p2 plr, 0,6):=1- 100 for 0 So < 27, 05057, and 0 <rSR(), where units are in kg/m². Find the mass of this cheese wheel. (6 marks)