Marbles 4

Sipho has a cylindrical tank with a radius of 8 cm and a height of 10 cm. The bottom of the tank is filled with marbles, and the tank is then filled with water to a height of 6,4 cm. When the marbles are removed, the water level drops to 4 cm. Using the information, help Sipho calculates the water volume displaced by the marbles. Structure your solution according to Polya's problem-solving model.

Final Answer:

x =  482.5486 cm³

Step-by-step explanation:

$$\begin{gathered} r=8\text{cm} \\ h=10\text{cm} \\ {h}_1=6.4\text{cm} \\ {h}_2=4\text{cm} \\ V=\pi \cdot r^2\cdot h=3.1416\cdot 8^2\cdot 10\doteq 2010.6193{\text{cm}}^3 \\ {V}_1=\pi \cdot r^2\cdot h_1=3.1416\cdot 8^2\cdot 6.4\doteq 1286.7964{\text{cm}}^3 \\ {V}_2=\pi \cdot r^2\cdot h_2=3.1416\cdot 8^2\cdot 4\doteq 804.2477{\text{cm}}^3 \\ x=V_1-V_2=1286.7964-804.2477=482.5486{\text{cm}}^3 \end{gathered}$$

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