document.write( "Question 390223: the diameter of two cones are equal. if there slant hieght is in the ratio 7:8,then find the ratio of their curved suface area.
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #276661 by Edwin McCravy(20055) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r\n" );
document.write( "A = rs\r\n" );
document.write( "\r\n" );
document.write( "If the diameters are equal then the radii are too.\r\n" );
document.write( "\r\n" );
document.write( "Suppose the curved area of the smaller cone is A₁ and the curved\r\n" );
document.write( "area of the larger cone is A₂. \r\n" );
document.write( "\r\n" );
document.write( "Suppose the slant height of the smaller cone is s₁ with radius r\r\n" );
document.write( "and the slant height of the larger cone is s₂ with the same radius r.\r\n" );
document.write( " \r\n" );
document.write( "Then we have\r\n" );
document.write( "\r\n" );
document.write( "A₁ = rs₁\r\n" );
document.write( "\r\n" );
document.write( "and\r\n" );
document.write( "\r\n" );
document.write( "A₂ = rs₂\r\n" );
document.write( "\r\n" );
document.write( "So we make the proportion:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So the areas of the curved surfaces are in the same ratio as their \r\n" );
document.write( "slant heights, or 7:8\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( "

\n" );