SOLUTION: If a spherical tank 3m in diameter can be filled with a liquid for $200, the cost to fill a tank of diameter 6m would be $800. True or false?

Algebra ->  Pythagorean-theorem -> SOLUTION: If a spherical tank 3m in diameter can be filled with a liquid for $200, the cost to fill a tank of diameter 6m would be $800. True or false?      Log On


   

Question 955188: If a spherical tank 3m in diameter can be filled with a liquid for $200, the cost to fill a tank of diameter 6m would be $800. True or false?
Found 2 solutions by Alan3354, macston:
Answer by Alan3354(69443) About Me  (Show Source):
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
V=volume; r=radius
V=%284%2F3%29%28pi%29r%5E3
V=%284%2F3%29%28pi%29%283m%29%5E3
V=%284%2F3%2927m%5E3%28pi%29
V=36%28pi%29m%5E3 Volume of sphere with 3 meter radius.
V=%284%2F3%29%28pi%29%286m%29%5E3
V=%284%2F3%29216m%5E3%28pi%29
V=288%28pi%29m%5E3 Volume of sphere with 6 meter radius.
ANSWER: False. The volume of a 6 meter radius sphere is 8 times the volume of a 3 meter radius sphere.