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30/06/2021 1:40 pm
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How many silver coins, 1.75 cm in diameter and of thickness 2 mm, must be melted to form a cuboid of dimensions 5.5 cm × 10 cm × 3.5 cm?
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30/06/2021 1:41 pm
It is known that the coins are cylindrical in shape.
Height (h1) of the cylinder = 2 mm = 0.2 cm
Radius (r) of circular end of coins = 1.75/2 = 0.875 cm
Now, the number of coins to be melted to form the required cuboids be “n”
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