SOLUTION: The ratio between the volumes of two spheres is 27 to 8. What is the ratio between their respective radii?

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Question 879310: The ratio between the volumes of two spheres is 27 to 8. What is the ratio between their respective radii?
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
V%5B1%5D%22%3A%22V%5B2%5D %22%22=%22%22 %2227%3A8%22

expr%284%2F3%29pi%2Ar%5B1%5D%5E3%22%3A%22expr%284%2F3%29pi%2Ar%5B2%5D%5E3 %22%22=%22%22 %2227%3A8%22


%28expr%284%2F3%29pi%2Ar%5B1%5D%5E3%29%2F%28expr%284%2F3%29pi%2Ar%5B2%5D%5E3%29 %22%22=%22%22 27%2F8

 %22%22=%22%22 27%2F8

%28r%5B1%5D%5E3%29%2F%28r%5B2%5D%5E3%29 %22%22=%22%22 27%2F8

%28r%5B1%5D%2Fr%5B2%5D%29%5E3 %22%22=%22%22 27%2F8

Take cube roots of both sides:

root%283%2C%28r%5B1%5D%2Fr%5B2%5D%29%5E3%29 %22%22=%22%22 root%283%2C27%2F8%29

r%5B1%5D%2Fr%5B2%5D %22%22=%22%22 3%2F2

r%5B1%5D%22%3A%22r%5B2%5D %22%22=%22%22 %223%3A2%22

Edwin