Answer:
The volume of the empty space is ![476.67\ cm^{3}](https://tex.z-dn.net/?f=476.67%5C%20cm%5E%7B3%7D)
Step-by-step explanation:
we know that
The volume of the empty space inside the box is equal to the volume of the box minus the volume of the soccer ball
step 1
Find the volume of the box
The length side of the cube is equal to the diameter of the soccer ball
Let
b -----> the length side of the box
we have
![b=2r=2(5)=10\ cm](https://tex.z-dn.net/?f=b%3D2r%3D2%285%29%3D10%5C%20cm)
The volume of the box is equal to the volume of a cube
![V=b^{3}](https://tex.z-dn.net/?f=V%3Db%5E%7B3%7D)
substitute
![V=10^{3}](https://tex.z-dn.net/?f=V%3D10%5E%7B3%7D)
![V=1,000\ cm^{3}](https://tex.z-dn.net/?f=V%3D1%2C000%5C%20cm%5E%7B3%7D)
step 2
Find the volume of the soccer ball
The volume of the sphere (soccer ball) is equal to
![V=\frac{4}{3}\pi r^{3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E%7B3%7D)
we have
![r=5\ cm](https://tex.z-dn.net/?f=r%3D5%5C%20cm)
![\pi =3.14](https://tex.z-dn.net/?f=%5Cpi%20%3D3.14)
substitute
![V=\frac{4}{3}(3.14)(5)^{3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%283.14%29%285%29%5E%7B3%7D)
![V=523.33\ cm^{3}](https://tex.z-dn.net/?f=V%3D523.33%5C%20cm%5E%7B3%7D)
step 3
Find the volume of the empty space
![V=1,000-523.33=476.67\ cm^{3}](https://tex.z-dn.net/?f=V%3D1%2C000-523.33%3D476.67%5C%20cm%5E%7B3%7D)
Answer:ok I’ll join
Step-by-step explanation:
2 miles per hour, pretty slow for a bike XD
D. 147 square units is your answer
Answer: The answer would be two because one of the lines would be a parabolic line and parabolic lines only have at the most two solutions