Q. 64.0( 230 Votes )

# 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?

Answer :

Coins are cylindrical in shape.

Height (h_{1}) 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 × r^{2} × h_{1} = 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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