Question

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)

Answer 1

we get that the volume of each object is

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

so the reamining space is:

`2197-697=1500`