document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1155823>Question 1155823</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The radii of two similar cones are 1.0 and 2.5 respectively. What is the ratio of:<BR>\n" );
document.write( "Their lateral areas? </SPAN>\n" );
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document.write( "Answer: <font color=red>1:6.25</font>\r<BR>\n" );
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document.write( "Imagine we had 2 squares. One square is 1 by 1, so its area is 1*1 = 1 suare unit. The second square is 2.5 by 2.5, so its area is 2.5*2.5 = 6.25 square units. \r<BR>\n" );
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document.write( "The ratio of the side lengths is 1:2.5, meaning that the second square's side length is 2.5 times longer than the first square's side length. \r<BR>\n" );
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document.write( "The ratio of the areas is 1:6.25, meaning the second square's area is 6.25 times that of the first square's area.\r<BR>\n" );
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document.write( "The surface area in general follows this idea, so the ratio of surface areas of the two cones is 1:6.25<BR>\n" );
document.write( "The same idea applies to the lateral surface areas as well. This is because we can unfold the outer surface (think of peeling off a sticker label) to form the geometric net, which is just a flat 2D shape. That shape has an area, leading to the surface area.<BR>\n" );
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