document.write( "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 . \n" ); document.write( "

Algebra.Com's Answer #353551 by KMST(5328) $\"\"$ $\"About$

You can put this solution on YOUR website!
The radius of that sphere is half the diameter, 3 cm.
\n" ); document.write( "The volume of a sphere of radius r is $\"V=%284%2F3%29%2Api%2Ar%5E3\"$ .
\n" ); document.write( "The volume of a cylinder with base radius r, and height h is $\"V=pi%2Ar%5E2%2Ah\"$ .
\n" ); document.write( "The volume of your sphere in $\"cm%5E3\"$ is $\"V=%284%2F3%29%2Api%2A3%5E3=36%2Api\"$ .
\n" ); document.write( "The volume of your cylinder in $\"cm%5E3\"$ is $\"V=pi%2A3%5E2%2Ah=9%2Api%2Ah\"$ .
\n" ); document.write( " $\"36%2Api=9%2Api%2Ah\"$
\n" ); document.write( "dividing by $\"pi\"$ and by 9:
\n" ); document.write( " $\"36=9%2Ah\"$ --> $\"h=36%2F9=4\"$
\n" ); document.write( "The height is 4 cm. \n" ); document.write( "

\n" );