. 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.

Answers

Answer 1
Answer:

Answer:

$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) =

$182 is the value of the gold in the coin

Answer 2
Answer:

Final answer:

To find the value of the gold in the coin, calculate its volume using the formula for the volume of a cylinder. The value of gold in the coin is $185.37.

Explanation:

To calculate the value of gold in the coin, we need to find its volume first using the formula for volume of a cylinder:

V = \pi  r^2h.

The radius (r) of the coin is half its diameter, so it is 0.81 cm. The height (h) is 0.085 cm. Plugging in these values, we can find the volume of the coin. Next, we calculate the mass of the gold in the coin using its density and the volume we just calculated. Finally, we multiply the mass by the price per gram of gold to find the value of the gold in the coin.

The volume of the coin is:

V = \pi (0.81 cm)2(0.085 cm)

= 0.178 cm3.

The mass of the gold is:

m = density x volume

= 19.32 x 0.178

= 3.443 g.

The value of the gold in the coin is the value as -

= mass x price per gram

= 3.443 g x $53.90/g

= $185.37.

Learn more about value of gold in a coin here:

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Answers

Answer:

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Answers

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Answers

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Answers

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Answers

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Answers

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