A single cell of a bees honey comb has the shape shown in Figure 4.118. The surface area

Chapter 4, Problem 77

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A single cell of a bees honey comb has the shape shown in Figure 4.118. The surface area of this cell is given by A = 6hs + 3 2 s2 "cos sin + 3 sin # where h, s, are as shown in the picture. (a) Keeping h and s fixed, for what angle, , is the surface area a minimum? (b) Measurements on bees cells have shown that the angle actually used by bees is about = 55. Comment. s s s h Figure 4.118

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