Three tennis balls, each with a diameter of 2.5 inches, are placed inside a cylindrical can with a diameter of 2.7 inches and a height of 8.5 inches. approximately how much free space is left in the can? use the formulas below
vc=3.14r^2h
vs=4*3.14r^3/3

Find the volume of the can and subtract the volume of the balls to find the free space.

Using 3.14 for pi:
We know that the area of a cylinder (can) is .
Our diameter is 2.7, so our radius will be half of that, 1.35.
Our height is 8.5.
Let's find the volume.



Now, we know that the volume of a sphere (tennis ball) is .
Our diameter is 2.5, so our radius will be half of that, 1.25.
Let's find our volume.



We have three tennis balls, and 3 times that is 24.53125.

Now we subtract the 3 spheres' volumes from our cylinder's volume to find the empty space.

36.0315 - 24.53125 = 11.50025 in³