find the number of coins 1.5 cm in diameter and 0.2 cm thick , which should be melted to form a right circular cylinder of height 10 cm and diameter 4.5 cm
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Each one of those coins is also a cylinder (just a very very short one), and its volume is
V = πr²h = π(.75)²(.2) = 9π/80 cm³
The right circular cylinder has volume V = π(2.25)²(10) = 405π/8 cm³.
Divide the larger cylinder's volume by the volume of each coin = (405π/8) / (9π/80) = 450 coins
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