SOLUTION: a cubiodal vessel has a dimension 44*35*22cm is filledwith water upto the height of 19 cm .a spherical solid metal ball is plased in the vessel ,due to which 231 cu.cm of water ove

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Question 950987: a cubiodal vessel has a dimension 44*35*22cm is filledwith water upto the height of 19 cm .a spherical solid metal ball is plased in the vessel ,due to which 231 cu.cm of water overflows.find the radius of the ball?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
Volume(sphere)=%284%2F3%29%28pi%29%28r%5E3%29
231cm%5E3=%284%2F3%29%28pi%29%28r%5E3%29 Multiply each side by %283%2F%284%28pi%29%29%29
%283%2F%284%28pi%29%29%29*231cm%5E3=%284%2F3%29%28pi%29%28r%5E3%29*%283%2F%284%28pi%29%29%29
%283%2F%284%28pi%29%29%29*231cm%5E3=%28r%5E3%29
173.25%2F%28pi%29=r%5E3
55.15cm%5E3=r%5E3 Find cube root of each side.
3.81 cm = r ANSWER; The radius of the ball is 3.81 cm.