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Question -

Find the number of metallic circular discs with 1.5 cm base diameter and of height 0.2 cm to be melted to form a right circular cylinder of height 10 cm and diameter 4.5 cm.



Answer -

Given,

Radius of eachcircular disc = r = 1.5/2 = 0.75 cm

Height of eachcircular disc = h = 0.2 cm

Radius of cylinder = R= 4.5/ 2 = 2.25 cm

Height of cylinder = H= 10 cm

So, the number ofmetallic discs required is given by n

n = Volume of cylinder/ volume of each circular disc

n = πR2H/πr2h

n = (2.25)2(10)/(0.75)2(0.2)

n = 3 x 3 x 50 = 450

Therefore, 450metallic discs are required.

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