Given that,
Radius of each coin = 0.75 cm
Thickness = 0.2 cm
Height of circular cylinder = 8 cm
base radius =3 cm
We need to calculate the volume of cylinder
Using formula of volume
[tex]V=\pi r^2h[/tex]
Put the value into the formula
[tex]V=\pi\times3^2\times8[/tex]
[tex]V_{cy}=226.19\ cm^3[/tex]
We need to calculate the volume of coin
Using formula of volume
[tex]V_{c}=\pi\times r^2\times h[/tex]
Put the value into the formula
[tex]V_{c}=\pi\times(0.75)^2\times0.2[/tex]
[tex]V_{c}=0.353\ cm^3[/tex]
We need to calculate the number of coins
Using formula of number of coins
[tex]N=\dfrac{volume\ of\ cylinder}{volume\ of\ coin}[/tex]
Put the value into the formula
[tex]N=\dfrac{226.19}{0.353}[/tex]
[tex]N=640[/tex]
Hence, The number of coins is 640.
Answer:
Step-by-step explanation:
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Solution is in this pic.
