A. A 5in radius ball is in a box such that all six sides of
the box are touching the ball.
What percent of the space in
the box is being taken up by
the ball?

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.

Percentage of the space in the box occupied by the ball