document.write( "Question 1209538: The top of a cone of height 10cm and base radius 7cm is cut off by a plane parallel to the base. If the distance between the plane and the base is 3cm, calculate the volume of the remaining object. [Take π = 22/7] \n" ); document.write( "

Algebra.Com's Answer #849381 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "The top of a cone of height 10cm and base radius 7cm is cut off by a plane parallel to the base.
\n" ); document.write( "If the distance between the plane and the base is 3cm, calculate the volume of the remaining object. [Take π = 22/7]
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\n" ); document.write( "\n" ); document.write( " Here is another, more simple, more straightforward \r
\n" ); document.write( "\n" ); document.write( " and computationally less extensive solving method.\r
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document.write( "The volume of the original cone is  V =  =  = 513.33333 cm^3.\r\n" );
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document.write( "The smaller cone is similar to the original one with the similarity coefficient  =  = 0.7.\r\n" );
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document.write( "Therefore, the volume of the smaller cone is   =  = 176.07533 cm^3.\r\n" );
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document.write( "The volume of the interest is the difference  513.33333 - 176.07533 = 337.26 cm^3.\r\n" );
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document.write( "ANSWER<.  The volume of the remaining object is  337.26 cm^3  (approximately).\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved in different way.\r
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