Question

See the picture below

Answer 1

236.22 cubic centimeters

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) =
`(4)/(3)\pi r^3`

Note: Radius is half of diameter, which is r = 6.7/2 = 3.35

Volume of 3 tennis balls =
`3*(4)/(3)\pi r^3\\=3*(4)/(3)\pi (3.35)^3\\=472.44`

Volume of Cylinder =
`\pi r^2 h`

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 =
`\pi r^2 h\\=\pi (3.35)^2 (20.1)\\=708.66`

amount of space not taken up = 708.66 - 472.44 = 236.22 cubic centimeters