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Hiw many silver coins,1.75cm in diameter …

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

Posted by Lekhya Thota 5 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Pankaj Malik 5 years, 5 months ago

Assume silver coin to be a cylinder Dimensions of silver coin Height= 2 mm = 0.2 cm Diameter= 1.75 cm Radius= Diameter/2 = 1.75/2 = 0.875 cm Dimensions of cuboid Length= 5.5 cm Breadth= 10 cm Height = 3.5 cm Volume of one silver coin = pi *(r^2)*h = 3.141(0.875)(0.875)(0.2) = 0.481 cm^3 Volume of cuboid = l * b * h = 5.5(10)(3.5) = 192.5 cm^3 No. of coins required to form cuboid = Volume of cuboid/Volume of one coin = 192.5/0.481 = 400.207 = 401 (rounded to next nearest number) The answer is 401

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