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in Surface Areas And Volumes by (29.9k points)
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Find the number of coins, 1.5 cm in diameter and 0.2 cm thick, to be melted to form a right circular cylinder with a height of 10 cm and a diameter of 4.5 cm.

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Volume of coin = \(\pi r^2h\) \(=\frac{22}{7}\times0.75\times0.75\times0.2\)

Volume of cylinder = \(\pi r^2h\) \(\,=\frac{22}{7}\times0.75\times0.75\times0.2\)

Therefore,

Total number of coins = \(\frac{Volume\,of\,cylinder}{Volume\,of\,coin}\)

= 450 coins 

Thus, 450 coins must be melted to form the required cylinder

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