Find the number of coins of 2.5 cm diameter and 0.2 cm thickness to be melted to form a right circular cylinder of height 10 cm and diameter 5.5 cm.
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Let n be the number of 1.5 cm diameter coins required to form a right circular cylinder of height 10 cm and diameter 4.5 cm.
Now,
Volume of right circular cylinder =n x volume of 1.5 cm diameter coin.
Therefore,
n = π ( 4.5/2)² x 10 / π (1.5/2)² x 2/10
= 45 x 45 / 20x20 x 10 x 20 x 20 x 10 / 15x15x2
=9×10×5
=450
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