Answer:
52.33%
Step-by-step explanation:
Since, all six sides of the box are touching the ball.
So, all the three dimensions of the box are equal.
Hence, it is a cubical box.
Side length of the box (l)
= diameter of the ball
= 2*radius of the ball
= 2*5
= 10 In.
![V_{ball} = \frac{4}{3} \pi r^3](https://tex.z-dn.net/?f=%20V_%7Bball%7D%20%3D%20%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20r%5E3%20)
![V_{ball} = \frac{4}{3} \times 3.14(5)^3](https://tex.z-dn.net/?f=%20V_%7Bball%7D%20%3D%20%5Cfrac%7B4%7D%7B3%7D%20%5Ctimes%203.14%285%29%5E3%20)
![V_{ball} = \frac{4}{3} \times 3.14\times 125](https://tex.z-dn.net/?f=%20V_%7Bball%7D%20%3D%20%5Cfrac%7B4%7D%7B3%7D%20%5Ctimes%203.14%5Ctimes%20125%20)
![V_{ball} = \frac{1,570}{3}\: In^3](https://tex.z-dn.net/?f=%20V_%7Bball%7D%20%3D%20%5Cfrac%7B1%2C570%7D%7B3%7D%5C%3A%20In%5E3%20)
![V_{box} =l^3](https://tex.z-dn.net/?f=%20V_%7Bbox%7D%20%3Dl%5E3%20)
![V_{box} =(10)^3](https://tex.z-dn.net/?f=%20V_%7Bbox%7D%20%3D%2810%29%5E3%20)
![V_{box} =1000\: In^3](https://tex.z-dn.net/?f=%20V_%7Bbox%7D%20%3D1000%5C%3A%20In%5E3%20)
Percentage of the space in the box occupied by the ball
![= \frac{V_{ball}}{V_{box} } \times 100](https://tex.z-dn.net/?f=%20%3D%20%5Cfrac%7BV_%7Bball%7D%7D%7BV_%7Bbox%7D%20%7D%20%5Ctimes%20100%20)
![= \frac{\frac{1,570}{3}}{1000} \times 100](https://tex.z-dn.net/?f=%20%3D%20%5Cfrac%7B%5Cfrac%7B1%2C570%7D%7B3%7D%7D%7B1000%7D%20%5Ctimes%20100%20)
![= \frac{1570}{3000} \times 100](https://tex.z-dn.net/?f=%20%3D%20%5Cfrac%7B1570%7D%7B3000%7D%20%5Ctimes%20100%20)
![= \frac{157}{3}](https://tex.z-dn.net/?f=%20%3D%20%5Cfrac%7B157%7D%7B3%7D%20%20)
![= 52.33\%](https://tex.z-dn.net/?f=%20%3D%2052.33%5C%25%20)
Answer:
C
Step-by-step explanation:
Answer:
67
Step-by-step explanation:
its not a 90!!! tilt your screen.
Answer:
well the answer is 7 rides
Step-by-step explanation:
25 - 4
=21
21÷3
=7
(p.s working might not be in the right format but its right)
Answer:
1)Add 19
2)Multiply by 5
Step-by-step explanation:
![-3=-19+\frac{d}{5}](https://tex.z-dn.net/?f=-3%3D-19%2B%5Cfrac%7Bd%7D%7B5%7D)
Adding 19 to both sides.
![-3+19=-19+19+\frac{d}{5}\\\\16=\frac{d}{5}](https://tex.z-dn.net/?f=-3%2B19%3D-19%2B19%2B%5Cfrac%7Bd%7D%7B5%7D%5C%5C%5C%5C16%3D%5Cfrac%7Bd%7D%7B5%7D)
Multiplying 5 to both sides.
![16\times5=\frac{d}{5}\times 5\\80=d\\\\](https://tex.z-dn.net/?f=16%5Ctimes5%3D%5Cfrac%7Bd%7D%7B5%7D%5Ctimes%205%5C%5C80%3Dd%5C%5C%5C%5C)
∴![d=80](https://tex.z-dn.net/?f=d%3D80)