Answer:
236.22 cubic centimeters
Step-by-step explanation:
We need to find volume of 3 tennis balls and subtract it from volume of the cylinder to get our answer.
Volume of sphere (tennis ball) = [tex]\frac{4}{3}\pi r^3[/tex]
Note: Radius is half of diameter, which is r = 6.7/2 = 3.35
Volume of 3 tennis balls = [tex]3*\frac{4}{3}\pi r^3\\=3*\frac{4}{3}\pi (3.35)^3\\=472.44[/tex]
Volume of Cylinder = [tex]\pi r^2 h[/tex]
Note: radius is 3.35 and height is diameter of 3 tennis balls stacked on top of each other, so height is 6.7 * 3 = 20.1
Hence,
Volume of Cylinder = [tex]\pi r^2 h\\=\pi (3.35)^2 (20.1)\\=708.66[/tex]
amount of space not taken up = 708.66 - 472.44 = 236.22 cubic centimeters
