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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 miniature gumballs, which have a radius of 1/3in. How many gumballs will fit in the machine?

Respuesta :

To know how many gumballs will fit in the machine, the volume of the minature and the machine should be calculated. Volume of sphere:

V = (4/3) pi* r^3

Volume of the machine r = 6 in

V = (4/3) pi* 6^3 = 904.77 in3

Volume of the miniature gumballs

V = (4/3) pi* (1/3)^3 = 0.1551 in3

Divide the two volume to get the number of gumballs that can fill the machine

904.77 in3/ 0.1551 in3 = 5832

 

 

Answer:

the answer is 1000

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