document.write( "Question 1137150: A cone of volume 54π is cut by a plane parallel to the base, one third of the way up the height of the cone (from the base). Find the volume of the resulting frustum. \n" ); document.write( "

Algebra.Com's Answer #754988 by ikleyn(52790) $\"\"$ $\"About$

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document.write( "The small cone (which is the cut part of the large cone) is similar to the large cone.\r\n" );
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document.write( "The similarity coefficient (the ratio of corresponding linear dimensions) is     (counting smaller to larger).\r\n" );
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document.write( "It means that the smaller cone volume is   =   of the volume of the large cone.\r\n" );
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document.write( "Then the volume of the resulting frustum is   =  =  of the volume of the large cone.\r\n" );
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document.write( "Thus the value under the question is   = .    ANSWER\r\n" );
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