SOLUTION: THE EXTERNAL DIAMETER OF A HOLLOW METAL SPHERE IS 12cm AND ITS THICKNESS IS 2cm . FIND THE RADIUS OF A SOLID SPHERE MADE OF THE SAME MATERIAL AND HAVING THE SAMA MASS AS THE HOLLO

Algebra ->  Surface-area -> SOLUTION: THE EXTERNAL DIAMETER OF A HOLLOW METAL SPHERE IS 12cm AND ITS THICKNESS IS 2cm . FIND THE RADIUS OF A SOLID SPHERE MADE OF THE SAME MATERIAL AND HAVING THE SAMA MASS AS THE HOLLO      Log On


   

Question 1009959: THE EXTERNAL DIAMETER OF A HOLLOW METAL SPHERE IS 12cm AND ITS THICKNESS IS 2cm . FIND THE RADIUS OF A SOLID SPHERE MADE OF THE SAME MATERIAL AND HAVING THE SAMA MASS AS THE HOLLOW SPHERE . GIVEN THAT THE MASS OF 1cm3 OF THE METAL IS 5.4g , FIND THE MASS OF THE SPHERE IN KG.
Answer by josgarithmetic(39838) About Me  (Show Source):
You can put this solution on YOUR website!
Find the volume of the hollow sphere MATERIAL;
Find the radius of the non-hollow sphere of this same volume value;
Find the mass, using the density 5.4%28grams%2Fcm%5E3%29.

Needed basic formula, v=%284%2F3%29pi%2Ar%5E3.

Starting in with the given values,
volume, %284%2F3%29pi%28%2812%29%5E3-%2812-2%29%5E3%29
%284%2F3%29pi%281728-1000%29
%284%2F3%29pi%2A728
728%284%2F3%29pi


Filled sphere with the same volume,
728%284%2F3%29pi=%284%2F3%29pi%2Ar%5E3
r%5E3=728
highlight%28r=8.996%29, almost 9, just a little bit less.

MASS:

Simplify and compute as needed.