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 gumball’s will fit in the machine

1. diemthu
The jumbo gumball’s will fit in the machine is 1000.
According to the statement
we have given that the 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.
And we have to find that the How many jumbo gumball’s will fit in the machine.
So, For this purpose, we know that the
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 in^3
Volume of the miniature gumballs
V = (4/3) pi* (0.6)^3 = 0.90432 in^3
Divide the two volume to get the number of gumballs that can fill the machine
904.77 in^3/ 0.90432 in^3 = 1000.
So, The jumbo gumball’s will fit in the machine is 1000.