document.write( "Question 1084213: A sphere is inscribed in a cylinder. Use complete sentences and geometric formulas to compare the surface area of the sphere and the lateral area of the cylinder.
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Algebra.Com's Answer #698287 by ikleyn(52788) $\"\"$ $\"About$

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document.write( "1.  Let \"r\" be the radius of the sphere.\r\n" );
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document.write( "    Since the sphere is inscribed in the cylinder, the radius of the cylinder is \"r\" too, and the height of the cylinder is h = 2r.\r\n" );
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document.write( "2.  Surface area of the sphere is  = .\r\n" );
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document.write( "3.  Lateral surface area of the cylinder is  =  =  = .\r\n" );
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document.write( "4.  Comparing these expressions, we can conclude that in the considered case \r\n" );
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document.write( "            the surface area of the sphere is equal to the lateral area of the cylinder.\r\n" );
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