Answer
$d=6.572\text{ cm}$
Work Step by Step
Finding the thickness $t$ of the shaft at upper side: $$\tan 3^\circ=\frac{t}{15}$$ $$t=15\tan 3^\circ=0.786\text{ cm}$$
Then, the diameter will be:
$$d=5+2t=5+2(0.786)=6.572\text{ cm}$$
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