madisonreynolds10706 madisonreynolds10706
  • 11-10-2022
  • Mathematics
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a box shaped as a cube has an edge of 13 inches. if a kickball with a diameter of 11 inches is placed inside of it how much of the space is not filled?(to the nearest cubic inch)

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samantaisabel14018 samantaisabel14018
  • 11-10-2022

we get that the volume of each object is

[tex]\begin{gathered} V_{\text{box}}=13^3=2197 \\ V_{\text{ball}}=\frac{4}{3}\cdot\pi\cdot(5.5)^3\approx696.90997032\approx697 \end{gathered}[/tex]

so the reamining space is:

[tex]2197-697=1500[/tex]

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