Giant coin

From coinage, metal was produced into giant coins and applied so much metal, such as producing 10 million actual coins. What has this giant coin's diameter and thickness if the ratio of diameter to thickness is the same as an actual coin, which has a diameter of 1.6 cm and a thickness of 1.6 mm?

Final Answer:

D =  344.71 cm
h =  344.71 mm

Step-by-step explanation:

$$\begin{gathered} d_1=1.6\text{cm} \\ {h}_1=1.6\text{mm} \\ n=10e_6 \\ V\dots k^3 \\ {V}_2=n\cdot V_1 \\ k=\sqrt[ \\ 3]{n}=\sqrt[ \\ 3]{10000000}\doteq 215.4435 \\ D=d_1\cdot k=1.6\cdot 215.4435=344.71\text{cm} \end{gathered}$$

$h=h_1\cdot k=1.6\cdot 215.4435=344.71\text{mm}$

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