) Find the number of coins, 3 cm., in diameter and 0.4 cm., thick, to be melted to form a right
circular cylinder of height 20 cm., and diameter 9 cm.
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Answer:
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× volume of 1.5 cm diameter coin.
Therefore,
n=
π(
2
1.5
)
2
×
10
2
π(
2
4.5
)
2
×10
=
20×20
45×45
×
15×15×2
10×20×20×10
=9×10×5
=450
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