SOLUTION: The mass of a sphere is proportional to its radius cubed. If a sphere of diameter 2 cm has a mass of 9 grams, what diameter sphere has a mass of 4608 grams?
diameter= _____cm
Question 263618: The mass of a sphere is proportional to its radius cubed. If a sphere of diameter 2 cm has a mass of 9 grams, what diameter sphere has a mass of 4608 grams?
diameter= _____cm Answer by drk(1908) (Show Source):
You can put this solution on YOUR website! We have
diameter = 2, mass of 9
means
radius = 1 , mass = 9
step 1 - find k.
so,
k = 9
step 2 - rewrite the equation with our new k to get
step 3 - using m = 4608, find r and then d we get
dividing, we get
take a cub root to get
r = 8 and then d = 4
diameter = 4cm
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