document.write( "Question 1024263: A tank with diameter 44x35x22 has water filled upto 17 cm. A metal sphere is immersed in the tank and 231 cm cube water overflows. What is the radius of the sphere
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #639691 by ikleyn(52790)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "A tank with \"highlight%28cross%28diameter%29%29\" dimensions 44x35x22 has water filled upto 17 cm.
\n" ); document.write( "A metal sphere is immersed in the tank and 231 cm cube water overflows. What is the radius of the sphere
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "0. It was not said directly and explicitly, but it is assumed implicitly that     \r\n" );
document.write( "   a) the sphere has the diameter less than 22 cm,  and \r\n" );
document.write( "   b) finally, the sphere is fully covered by the water.\r\n" );
document.write( "\r\n" );
document.write( "   It is what the words \"the sphere is immersed\" mean.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "1. \"V%5B17%5D\" = 44*35*17 = 26180 \"cm%5E3\" is the volume of water in the tank, when it is filled till 17 cm.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "2. The full capacity of the tank is\r\n" );
document.write( "\r\n" );
document.write( "    \"V\" = 44*35*22 = 33880 \"cm%5E3\"\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "3. The equation for the sphere volume is \r\n" );
document.write( "\r\n" );
document.write( "   \"V%5Bsphere%5D\" = \"%28V+-+V%5B17%5D%29\" + 231.\r\n" );
document.write( "\r\n" );
document.write( "   Or for the radius R\r\n" );
document.write( "\r\n" );
document.write( "   \"%284%2F3%29%2Api%2AR%5E3\" = \"%28V+-+V%5B17%5D%29\" + 231.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "4. Make calculations and solve for R.\r\n" );
document.write( "

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