Best Stanley
01/26/2024 · Middle School
The cylindrical container shown will be filled with spherical marbles. the container has a radius of \( R \mathrm{~cm} \) and a perpendicular height of \( h \mathrm{~cm} \). The volume of the container is \( 300 \mathrm{~cm}^{3} \). The radius of each marble is 0.75 cm . Show that the height of the container, 10.4.1 is given by \( h=\frac{300}{\pi \mathrm{R}^{2}} \) 10.4.2 The container is filled with 100 marbles. Then water is poured into the container until the water reaches the top. Calculate the volume of water that was poured into the container.
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The height of the container is \( h = \frac{300}{\pi R^2} \). The volume of water poured into the container is approximately \( 123.375 \, \text{cm}^3 \).
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