Question

How many coins 1.75cm in diameter and 2mm thick must be melted to form a cuboid 11cmx10cmx75cm___?

Answer 1

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Here is Ur Answer !!!
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$Diameter \: of \: coin \: = 1.75cm \\ So, \: radius \: of \: coin \: = 0.875cm \\ Height \: of \: coin = 2mm = 0.2cm \\ \\ Now ,\: Volume \: of \: coin \: = \pi {r}^{2} h \: \\ \\ = > \frac{22}{7} \times (0.875) {}^{2} \times 0.2 \\ \\ = > \frac{22}{7} \times 0.765625 \times 0.2 \\ \\ = > 22 \times 0.10937 \times 0.2 \\ \\ = > 0.48125cm {}^{3} \\ \\ Length \: of \: cuboid \: = 11cm \\ Breadth \: of \: cuboid \: = 10cm \\ Height \: of \: cuboid \: = 75cm \\ \\ Now ,\: volume \: of \: cuboid \: = lbh \\ \\ = > 11 \times 10 \times 75 \\ \\ = > 8250cm {}^{3} \\ \\ Number \: of \: coins \: = \frac{Volume \: of \: cuboid}{Volume \: of \: coin } \\ \\ = > \frac{8250}{0.48125} \\ \\ = > 17142.8$

So , The Number of Coins Required to form cuboid are 17143✔✔
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Answer 2

here is the answer for the above question

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