document.write( "Question 980523: a circular piece of paper of radius 20 cm is cut in half and each half is made into a hollow cone by joining the straight edges. Find the slant height and the base radius of each cone \n" ); document.write( "
Algebra.Com's Answer #601641 by ikleyn(52799)![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( "\n" ); document.write( "The slant height of the cone is equal to the radius of the original circular piece of paper, i.e 20 cm. It is obvious.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now, let x be the radius of the base of the cone. \r \n" ); document.write( "\n" ); document.write( "Then the length of the circle at the base of the cone is 2*pi*r. From the other side, it is equal to the length of the half-circle of the radius 20 cm.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Thus we have the equation\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hence, x = 10 cm.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer. The slant height of the cone is 20 cm. The radius of the base of the cone is 10 cm.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |