Answer:
449 cubic inches
Step-by-step explanation:
The diameter of the ball when closed is 9.5 inches. This will also be the diameter of the ball when it is expanded.
Use the formula for finding the volume of a sphere
[tex]V = \frac{4}{3}\pi r^3[/tex]
where V is the volume and r the radius
r = diameter/2 = 9.5/2 = 4.75
[tex]V = \frac{4}{3}\cdot\pi\cdot 4.75^3[/tex]
Using value of [tex]\pi = 3.14[/tex],
[tex]V = \frac{4}{3}\cdot\ 3.14\cdot 4.75^3[/tex]
[tex]V = \frac{4}{3}\cdot\ (3.14)\cdot (107.171)[/tex] [tex]\approx\;448.69[/tex] [tex]= 449[/tex] (rounded to nearest cubic in)
