Question

If the volume of a gumball machine is r² over 54 how many 1" diameter gumballs can fit?

Answer 1

As the number of gumball is: N

`\begin{gathered} N=\frac{Volume\text{ of mac.}}{\text{Volume of gumball}} \\ N=((r^2)/(54))/((4)/(3)\pi* r^3) \end{gathered}`

Now put the values in the formula:

`\begin{gathered} N=((r^2)/(54))/((4)/(3)\pi(1.27)^3) \\ N=(r^2)/(463.3) \end{gathered}`

Now put the radius of the machine.n As there is no radius given in the problem You can put it accordinagly