. The density of gold is 19.32 g/mL. A U. S. $5.00 gold coin has a diameter of 1.62 cm and a thickness of 0.085 cm. The price of gold is currently $53.90 per gram. What is the value of the gold in the coin. V = π r2 h.

$182 is the value of the gold in the coin

Explanation:

Diameter is 2r, the ratio of the coin is = 1.62cm / 2 = 0.81cm

Following the formula of the volume of the coin:

V = π r² h

V = π*(0.81cm)²*0.085cm

V = 0.172cm³ = mL

As the density of the gold is 19.32g/mL, the mass of 0.1752mL of gold is:

0.1752mL * (19.32g / mL) =

3.385g is the mass of the coin

As the price of the gold is $53.90 / g, the value of the gold in the coin is:

3.385g * ($53.90 / g) =

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