NanaamaI304139 NanaamaI304139
  • 03-11-2022
  • Mathematics
contestada

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

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SeagerL318822 SeagerL318822
  • 03-11-2022

As the number of gumball is: N

[tex]\begin{gathered} N=\frac{Volume\text{ of mac.}}{\text{Volume of gumball}} \\ N=\frac{\frac{r^2}{54}}{\frac{4}{3}\pi\times r^3} \end{gathered}[/tex]

Now put the values in the formula:

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

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

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