document.write( "Question 1017561: A sphere is just fit in a cone such that it is the largest sphere that can be fit into that sphere. The height of cone is 8 cm and radius of cone is 6 cm. Find the volume of the sphere. \n" ); document.write( "

Algebra.Com's Answer #633890 by Edwin McCravy(20063) $\"\"$ $\"About$

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document.write( "Here is a drawing of the mid-cross section of the \r\n" );
document.write( "largest sphere in the cone, which is the largest \r\n" );
document.write( "circle inside triangle ABC:\r\n" );
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document.write( "Right triangles ADC and OEC are similar because they share\r\n" );
document.write( "a common angle at A.\r\n" );
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document.write( "The hypotenuse of ADC is AC.  And AC = 10 by the Pythagorean \r\n" );
document.write( "theorem applied to triangle ADC. (6²+8²=10²)\r\n" );
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document.write( "So:\r\n" );
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document.write( "Cross-multiply and solve that and get r = 3\r\n" );
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document.write( "So the radius of the circle is 3, which is also the radius of\r\n" );
document.write( "the sphere.\r\n" );
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document.write( "The volume of a sphere is given by the formula\r\n" );
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document.write( " cubic centimeters.\r\n" );
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document.write( "Edwin

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