How many silver coins, 1.75 cm in diameter and of thickness 2 mm, must be melted to forma cuboid of dimensions 5.5 cm × 10 cm × 3.5 cm?


Coins are cylindrical in shape.

Height (h1) of cylindrical coins = 2 mm = 0.2 cm


Radius (r) of circular end of coins = = 0.875 cm


Let n coins be melted to form the required cuboids


Volume of n coins = Volume of cuboids


n * π * r2 * h1 = l * b * h


n * π * (0.875)2 * 0.2 = 5.5 * 10 * 3.5


n =


= 400


Hence,


The number of coins melted to form the given cuboid is 400


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