document.write( "Question 243170: what is the answer and solution to, Calculate the volume of a sphere with a diamter of 100mm. \n" ); document.write( "
Algebra.Com's Answer #178169 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "\r\n" );
document.write( "\"V+=+4%2F3\"\"x\"\"pi\"\"x\"\"r%5E3\" where \"r\" is the radius, which\r\n" );
document.write( "\r\n" );
document.write( "is \"1%2F2\" the diameter.  Since the diameter is \"100mm\", the\r\n" );
document.write( "\r\n" );
document.write( "radius is \"1%2F2\" of \"100mm\" or \"50mm\".  So we substitute\r\n" );
document.write( "\r\n" );
document.write( "\"50mm\" for \"r\" in the equation:\r\n" );
document.write( "\r\n" );
document.write( "\"V+=+4%2F3\"\"x\"\"pi\"\"r%5E3\"\r\n" );
document.write( "\r\n" );
document.write( "\"V+=+4%2F3\"\"x\"\"pi\"\"x\"\"%2850mm%29%5E3\"\r\n" );
document.write( "\r\n" );
document.write( "\"V+=+4%2F3\"\"x\"\"pi\"\"x\"\"50mm%2A50mm%2A50mm\"\r\n" );
document.write( "\r\n" );
document.write( "\"V+=+4%2F3\"\"x\"\"pi\"\"x\"\"125000mm%5E3\"\r\n" );
document.write( "\r\n" );
document.write( "For \"pi\" some people use \"22%2F7\" even though that \r\n" );
document.write( "is technically inaccurate but it is accurate to three \r\n" );
document.write( "significant figures. \r\n" );
document.write( "So we'll use it:\r\n" );
document.write( "\r\n" );
document.write( "\"V+=+4%2F3\"\"x\"\"22%2F7\"\"x\"\"125000mm%5E3\"\r\n" );
document.write( "\r\n" );
document.write( "Using a calculator, that comes out\r\n" );
document.write( "\r\n" );
document.write( "\"523809.5238mm%5E3\" \r\n" );
document.write( "\r\n" );
document.write( "but since it is accurate only to three significant\r\n" );
document.write( "figures we round it to:\r\n" );
document.write( "\r\n" );
document.write( "\"524000mm%5E3\" or if you prefer \"524000cubic_millimeters\".\r\n" );
document.write( "\r\n" );
document.write( "Did you want to convert that to cubic centimeters or milliliters?\r\n" );
document.write( "\r\n" );
document.write( "If so post again.\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );