document.write( "Question 678701: If the volume of a sphere is 500pi/3 meters cubed, what is the diameter of the sphere? \n" ); document.write( "
Algebra.Com's Answer #421603 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( "\n" ); document.write( "V = (4/3)*pi*r^3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "500pi/3 = (4/3)*pi*r^3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "500/3 = (4/3)*r^3 ... Divide both sides by pi.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "500 = 4r^3 ... Multiply both sides by 3.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "500/4 = r^3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "125 = r^3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "r^3 = 125\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "r = cube root of 125\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "r = 5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The radius is 5 meters. So the diameter is 10 meters.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |