how many silver coins each of 1.75cm diameter and of thickness 2mm must be melted to form a cuboid of dimensions 5.5cm*10cm*3.5cm
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We have,
Radius of coin = 1.75/2 = 00.875 cm
Thickness, i.e, height = 2/10 = 0.2 cm
The shape of the coin will be like the shape of cylinder
Volume of the coin = πr²h
Volume of the coin = 22/7 × 0.875 × 0.875 × 0.2
Now, Volume of the cuboid = 5.5 × 10 × 3.5
Therefore, Number of coins required to form a cuboid = Volume of the cuboid/Volume of the coin
Number of coins required to form a cuboid = 5.5 × 10 × 3.5/22/7 × 0.875 × 0.875 × 0.2
Number of coins required to form a cuboid = 400
Hence, There are 400 silver coins melted to form a cuboid.
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