SOLUTION: The volume of a sphere varies directly as the cube of the radius. If the ratio of the radii of 2 spheres is 4:3, what is the ratio of the volumes of the spheres? PLEASE HELP!!!!!!!

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Question 133522This question is from textbook algebra: structure and method: book1
: The volume of a sphere varies directly as the cube of the radius. If the ratio of the radii of 2 spheres is 4:3, what is the ratio of the volumes of the spheres? PLEASE HELP!!!!!!! The answer is 64:27, but I don't know how to get there. HELP MUCH APPRECIATED!!!!!! This question is from textbook algebra: structure and method: book1

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
"The volume of a sphere varies directly as the cube of the radius"
__ "the ratio of the radii of 2 spheres is 4:3"

the ratio of the volumes is the cube of the ratio of the radii __ 4^3:3^3