document.write( "Question 727392: Two metallic solid right circular cones have same height h.The radii of their base are r1 and r2. The two cones are melted together and recast into a solid right circular cylinder of height h.Show that the radius of the base of the cylinder is sqrt (1 upon 3 r1^2 + r2^2 ) \n" ); document.write( "
Algebra.Com's Answer #445091 by mananth(16946)\"\" \"About 
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1/3pih(r1^2+r2^2) Volume of both cones\r
\n" ); document.write( "\n" ); document.write( "which = pir^2h volume of cylinder\r
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\n" ); document.write( "\n" ); document.write( "\"pir%5E2h+=pi%2A+1%2F3%2Ah%28r1%5E2%2Br2%5E2%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"r%5E2=1%2F3%28r1%5E2%2Br2%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"r=+sqrt%281%2F%283%28r1%5E2%2Br2%5E2%29%29%29\"
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