SOLUTION: A crystal ball with a diameter of 6 inches is being packaged for shipment. If the crystal ball is placed inside a circular cylinder with radius 3 inches and height 6 inches, how mu

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A crystal ball with a diameter of 6 inches is being packaged for shipment. If the crystal ball is placed inside a circular cylinder with radius 3 inches and height 6 inches, how mu      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 962391: A crystal ball with a diameter of 6 inches is being packaged for shipment. If the crystal ball is placed inside a circular cylinder with radius 3 inches and height 6 inches, how much volume will need to filled with padding? (The volume of a sphere with radius r is 4/3 (pi*r^3), and the volume of a right circular cylinder with radius r and height (h) is (pi*r^2*h.) Use 3.14 to approximate pi.
Please help. I have no idea what to do with this problem! Please show work, thanks.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
Volume of padding is the space in the cylinder not occupied by the sphere.
V%5BC%5D=volume of cylinder; V%5BS%5D=volume of sphere; V%5BP%5D=volume of padding
V%5BP%5D=V%5BC%5D-V%5BS%5D=%28pi%29%28r%5E2%29h-%28pi%29%28r%5E3%29%284%2F3%29
V%5BP%5D=%28pi%29%28r%5E2%29%28h-%284%2F3%29r%29=%28pi%29%283%5E2%29%286-%284%2F3%293%29
V%5BP%5D=9%28pi%29%286-4%29=18%28pi%29
ANSWER: The volume of padding will be 18%28pi%29in%5E3
Use given value of pi to get approximate value.