document.write( "Question 1210437: A conical vessel has a height of 24 cm. and a base diameter of 12 cm. It holds water to a depth of 18 cm. above its vertex. Find the volume
\n" ); document.write( "of its content in cc. \n" ); document.write( "

Algebra.Com's Answer #852537 by ikleyn(52990) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "A conical vessel has a height of 24 cm. and a base diameter of 12 cm.
\n" ); document.write( "It holds water to a depth of 18 cm. above its vertex. Find the volume
\n" ); document.write( "of its content in cc.
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "Write a proportion  \"height to the base radius \" equals \"depth to the radius of water surface\"\r\n" );
document.write( "\r\n" );
document.write( "     = \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "using the similarity of triangles.  From this proportion\r\n" );
document.write( "\r\n" );
document.write( "    r =  =  = 4.5 centimeters.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "To find the water volume, use the formula to the volume of a cone\r\n" );
document.write( "\r\n" );
document.write( "    V =  =  = 1145.110521 cm^3.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Round it reasonably  V = 1145.11 cm^3.    <<<---===  ANSWER\r\n" );
document.write( "

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

\n" );