SOLUTION: a metal sphere with diameter 6 cm has got melt changed right circular cylinder with base radius lenght 3 cm .fine its height .

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Question 539763: a metal sphere with diameter 6 cm has got melt changed right circular cylinder with base radius lenght 3 cm .fine its height .
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The radius of that sphere is half the diameter, 3 cm.
The volume of a sphere of radius r is V=%284%2F3%29%2Api%2Ar%5E3.
The volume of a cylinder with base radius r, and height h is V=pi%2Ar%5E2%2Ah.
The volume of your sphere in cm%5E3 is V=%284%2F3%29%2Api%2A3%5E3=36%2Api.
The volume of your cylinder in cm%5E3 is V=pi%2A3%5E2%2Ah=9%2Api%2Ah.
36%2Api=9%2Api%2Ah
dividing by pi and by 9:
36=9%2Ah -->h=36%2F9=4
The height is 4 cm.