Question

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

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Answer 1

r=diameter2⇒1.752 cm and h = 2 mm = 0.2 cm. Now, we will equate the volume of the cuboid to the volume of “N” coins. So, the number of required coins will be 1601 (nearly). Therefore, the answer of the above question will be equal to 1601.

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Answer 2

Step-by-step explanation:

Given:

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

Radius (r) of circular end of coins = 21.75=0.875  cm

Let x coins be melted to form the required cuboids.

Volume of x coins = Volume of cuboids

⇒x×πr2h1=l×b×h

⇒x×π×0.8752×0.2=5.5×10×3.5

⇒x=0.8752×0.2×225.5×10×3.5×7=400

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