A gumball machine is in the shape of a sphere with a radius of 6 inches. A store manager wants to fill up the machine with jumbo gumballs, which have a radius of 0.6in. How many jumbo gumballs will fit in the machine?

216
2880
1000
50

Question

A gumball machine is in the shape of a sphere with a radius of 6 inches. A store manager wants to fill up the machine with jumbo gumballs, which have a radius of 0.6in. How many jumbo gumballs will fit in the machine?

216
2880
1000
50

AZ · Answer

First find the volume of the big sphere

$ V = \dfrac{4}{3} \pi r^3$

The radius is 6 inches

What is the volume when r = 6

AZ · Answer

Then find the volume of each gumball

so plug in r = 0.6

and then divide the overall volume with the volume of each gumball

that'll tell you how many gumballs will fit