Question

How many silver coins of 1.75 cm in diameter and thickness 2 mm must be melted to form a cuboid of dimension 5.5 cm× 10 cm× 3.5 cm ??

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Answer 1

Answer:

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Answer 2

Given :-

Coins are cylindrical in shape.

Height of the cylindrical cone = 2mm

= 0.2 cm

Diameter of coin = 1.75

Radius of coin = Diameter / 2

= 1.75/ 2 = 0.875 cm

Dimensions of cuboid = 5.5cm * 10cm * 3.5cm

Solution :-

Let the number of coins be x

Therefore,

x * volume of 1 coin = volume of cuboid

$x \: \times \pi {r}^{2}h \: = \: l \: \times \: b \: \times \: h$

Put the required values in the formula ,

x * 22/7 * (0.875 )^2 * 0.2 = 5.5 * 10 * 3.5

x * 0.48125cm^3 = 192.5

x = 192.5/ 0.48125

x = 19250000/ 48125

x = 400

Hence , The number of coins are 400