document.write( "Question 1126699: A cone with a base radius of 8 cm fits inside a sphere of radius 10cm. The apex of the cone is touching the top of the sphere. Find the perpendicular height. \n" ); document.write( "

Algebra.Com's Answer #743030 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "There are two basic configurations and two solutions, respectively.\r
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document.write( "One configuration is when the base of the cone and its apex are located in the same hemi-sphere.\r\n" );
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document.write( "Then the distance from the center of the sphere to the base of the cone is  \r\n" );
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document.write( "     =  =  =  = 6 cm.\r\n" );
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document.write( "Hence, the height of the cone is  10-6 = 4 cm.\r\n" );
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document.write( "Another configuration is when the base of the cone and its apex are located in different hemi-spheres.\r\n" );
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document.write( "Then the distance from the center of the sphere to the base of the cone is  the same\r\n" );
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document.write( "     =  =  =  = 6 cm.\r\n" );
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document.write( "But the height of the cone in this case is  10+6 = 16 cm.\r\n" );
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