Question

See the picture below

Answer 1

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) = $\frac{4}{3}\pi r^3$

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

Volume of 3 tennis balls = $3*\frac{4}{3}\pi r^3\\=3*\frac{4}{3}\pi (3.35)^3\\=472.44$

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