Problem Solver

[Guest]

A cubical box with a sphere that just fits inside, that is the width, length, and height of the box are each equal to the diameter of the ball. What percent to the nearest tenth of the volume of the box is not occupied by the ball? (Use pie=3.1416)

 

[stapel]

How does the length of a side of the box compare to the diameter of the sphere?

So how does the radius relate?

So if you let the box have side-length "1", what is the length of the radius?

What is the volume of the box?

What is the volume of the sphere?

What percentage of the former is the latter?

If you get stuck in working through these steps, please reply showing how far you have gotten. Thank you.

Eliz.

P.S. "Pie" is a dessert; "pi" is a Greek letter used to stand for the number 3.14159....