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A metal strip having sides 17 x 7 x 5 cm is melted down and minted into coins each of diameter 1.4cm and thickness 0.08 cm. Assuming no wastage, how many coins can be minted?

written 5.2 years ago by teamques10 ★ 68k

modified 2.6 years ago by pedsangini276 • 4.8k

engineering mathematics

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written 5.2 years ago by teamques10 ★ 68k

Solution:

Metal strip has dimensions 17 x 7 x 5 cm

$Volume of metal strip = 17 x 7 x 5 = 595 cm^{3}$

$Coin has diameter 1.4 cm \therefore radius = 0.7 cm$

$Volume of one coin = \pi r^{2} h$

$= \pi (0.7)^{2} (0.08)$

$= 0.123$

$Number of coin method = \frac{Volume of metal strip}{Volume of one coin}$

$ = \frac{595}{0.123}$

$= 4837.4$

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