Question

Stacy hits the jackpot one day at the gumball machine. She puts in a quarter and gets 4 gumballs rather than 1. The radius of each gumball is 6 mm.What is the total volume of all 4 gumballs?

Answer 1

For this case, we can model the problem as the volume of a sphere.
 By definition, the volume of a sphere is:
 $V = (4/3) * (\pi) * (r ^ 3)$
 Where,
 r: radius of the sphere.
 Since we have 4 gumballs, then the total volume is:
 $Vt = 4V Vt = (4) * (4/3) * (\pi) * (r ^ 3)$
 Substituting values we have:
 $Vt = (4) * (4/3) * (3.14) * (6 ^ 3) Vt = 3617.28 mm ^ 3$
 Answer:
 the total volume of all 4 gumballs is:
 $Vt = 3617.28 mm ^ 3$