Medal

Calculate the approximate weight of the gold Olympic medal if its diameter is 7 cm and its thickness 6 mm. The density of gold can be found in tables or on the Internet.

Final Answer:

m =  445.65 g

Step-by-step explanation:

$$\begin{gathered} D=7\text{cm} \\ h=6\text{mm}\to \text{cm}=6:10\text{cm}=0.6\text{cm} \\ \rho =19.3{\text{g/cm}}^3 \\ r=D/2=7/2=\frac{7}{2}=3.5\text{cm} \\ V=\pi \cdot r^2\cdot h=3.1416\cdot 3.5^2\cdot 0.6\doteq 23.0907{\text{cm}}^3 \\ m=\rho \cdot V=19.3\cdot 23.0907=445.65\text{g} \end{gathered}$$

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