Question

The $1 coin depicts Sacagawea and her infant son. The diameter of the coin is 26.5 mm, and the thickness is 2.00 mm. Find the volume of the coin to the nearest hundredth. The volume of the coin is cubic millimeters.

Answer 1

Find the volume of the coin is cubic millimeters.

To prove

Formula

`Volume\ of\ cylinder\ = \pi r^(2) h`

Where r is the radius and h is the height .

As given

The $1 coin depicts Sacagawea and her infant son.

The diameter of the coin is 26.5 mm, and the thickness is 2.00 mm.

`Radius = (Diameter)/(2)`

`Radius = (26.5)/(2)`

Radius = 13.25 mm

`\pi = 3.14`

Put in the formula

Volume of coin = 3.14 × 13.25 × 13.25 × 2.00

= 1102.53 mm³ (approx)

Therefore the volume of the coin is 1102.53 mm³ .