Answer:
[tex] 3,813.33 \: {cm}^{3} [/tex]
Step-by-step explanation:
Volume of the space that is not occupied = Volume of cube shaped box - volume of soccer ball
[tex] = {20}^{3} - \frac{4}{3} \times 3.14 \times {10}^{3} \\ \\ = 8000 - \frac{4}{3} \times 3.14 \times 1000 \\ \\ = 8000 - \frac{4}{3} \times 3140 \\ \\ = 8000 - \frac{12560}{3} \\ \\ = 8000 - 4,186.66667 \\ \\ = 3,813.33333 \\ \\ = 3,813.33 \: {cm}^{3} [/tex]
