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

Answers

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.

jumbo gumball’swill fit in the machine is 1000.Volume of sphere:jumbo gumball’swill fit in the machine is 1000.Volume of spherehere