How many silver coins, 1.75 cm in diameter and of thickness 2 mm, must be melted to form a cuboid of dimensions?

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Solution

Coins are cylindrical in shape.

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

Radius (r) of circular end of coins =

Let n coins be melted to form the required cuboids.

Volume of n coins = Volume of cuboids

Therefore, the number of coins melted to form such a cuboid is 400.

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How many silver coins(cylindrical), 1.75 cm in diameter and of thickness 2 mm, can be melted to form a cuboid of dimensions 5.5 cm × 10 cm × 3.5 cm?

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