Question

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?


please give step by step explanation ​

Answer 1

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Answer 2

Step-by-step explanation:

For Cylindrical coin,

Diameter= 1.75 cm

So, Radius (r) = 0.875 cm

also, thickness ( Height h) = 2mm = 0.2 cm

Volume of cylidrical coin = πr2h

= 22/7 × 0.875 ×0.875 × 0.2

= 22/7 × 0.765625 × 0.2

= 22/7 × 0.153125

= 0.48125 cu.cm

For cuboid,

length = 5.5cm

breadth = 10cm

height = 3.5 cm

Volume of Cuboid = l×b×h

= 5.5 × 10 × 3.5

= 55 × 3.5

= 192.5cu.cm

NO. OF COINS REQUIRED =

VOLUME OF CUBOID / VOLUME OF COIN

= 192.5 / 0.48125

= 400

Hence, 400 such coins are required to be melted to form such cuboid.

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