SOLUTION: The diameter of a sphere d is directly proportional to the cube root of the mass w. Given that the mass is 27kg when the diameter is 21cm, find the radius when the mass is 512kg.

Algebra ->  Bodies-in-space -> SOLUTION: The diameter of a sphere d is directly proportional to the cube root of the mass w. Given that the mass is 27kg when the diameter is 21cm, find the radius when the mass is 512kg.      Log On


   

Question 1137914: The diameter of a sphere d is directly proportional to the cube root of the mass w. Given that the mass is 27kg when the diameter is 21cm, find the radius when the mass is 512kg.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
d, diameter in cm
w, mass in kg
k, variation constant
Diameter is two multiplied by Radius.

d=k%2Aroot%283%2Cw%29


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Given that the mass is 27kg when the diameter is 21cm, find the radius when the mass is 512kg.
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Substitute and solve. You need the first part to find k first, before finding HALF the diameter.