So Volume (V) of a sphere is:

so essentially we need to divide the machine's Volume (V) the gumball volume (v)


now we divide V by v:

so b) 5,832 gumballs can fit in the machine
Answer:

Step-by-step explanation:
Rewrite the denominators as products of factors, then cancel the common factors.

Answer:
a) 12/91
b) about 67 times; (66 2/3)
Step-by-step explanation:
a) total of frequencies is 90 and frequency for a 3 is 11
however, the question said if the dice is rolled once more, then that raises the 11 to 12 and the frequency total from 90 to 91
let 'x' = # of sixes rolled out of 500 times
b) 12/90 = x/500
cross-multiply:
90x = 6000
x = 66 2/3
Answer: 35.3
Explanation: (-3-2-1+0+1+2+....27)/30 = 35.3