Giant coin

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

Correct result:

D =  344.71 cm
h =  344.71 mm

Solution:

Vk3 k=100000003=215.443 D=1.6k=344.71 cmV \approx k^3 \ \\ k = \sqrt[3]{ 10 000 000 } = 215.443 \ \\ D = 1.6 \cdot k = 344.71 \ \text{cm}
h=1.6k=344.71 mmh = 1.6 \cdot k = 344.71 \ \text{mm}



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