document.write( "Question 1210269: A cone and right pyramid have equal height and volumes. If the area of the base of pyramid is 154cm square, find the base radius of the cone \n" ); document.write( "

Algebra.Com's Answer #851779 by ikleyn(52874) $\"\"$ $\"About$

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\n" ); document.write( "A cone and right pyramid have equal height and volumes.
\n" ); document.write( "If the area of the base of pyramid is 154cm square, find the base radius of the cone
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document.write( "Let h be the common height.\r\n" );
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document.write( "The volume of the pyramid is  .\r\n" );
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document.write( "The volume of the cone is  .\r\n" );
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document.write( "Equate the volumes   = .\r\n" );
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document.write( "Cancel    in both sides.  You will get\r\n" );
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document.write( "     = 154\r\n" );
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document.write( "     =  = 49.02  (rounded)\r\n" );
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document.write( "    r =  = 7.001.\r\n" );
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document.write( "ANSWER.  The radius of the cone is about 7 cm.\r\n" );
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