Question

By melting a solid cuboid of length 16 cm , 11 cm, 10cm, how many coins can be made of 0.2 cm thick and 2 cm diameter.
1) 2200 2) 2400 3) 2600 4) 2800
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Answer 1

Given
Length,l = 16 cm
Breadth,b = 11 cm
Height,h = 10 cm
Radius,r = 1 cm
Thickness,H = 0.2 cm


Solution
Volume of cuboid = l*b*h
= 16*11*10
= 16*110

Volume of coin = pi*r*r*H
= (22/7)*1*1*0.2
= (22/7)*0.2

Number of coin = volume of cuboid/volume of coin

= {16*110}/{(22/7)*0.2}
= (16*110*7)/(22*0.2)
= (16*10*7)/(2*0.2)
= (8*10*7)/(1*0.2)
= 560/0.2
= 2800