document.write( "Question 1210537: The curve surface area of a cylinder is 1.5 times the total surface area of a cone. If the diameter of the cylinder and cone are equal to 10cm and the vertical height of the cone is 12cm. Calculate the height of the cylinder \n" ); document.write( "

Algebra.Com's Answer #853537 by ikleyn(53575) $\"\"$ $\"About$

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\n" ); document.write( "The curve surface area of a cylinder is 1.5 times the total surface area of a cone.
\n" ); document.write( "If the diameter of the cylinder and cone are equal to 10cm and the vertical height of the cone is 12cm.
\n" ); document.write( "Calculate the height of the cylinder
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document.write( "The curve surface area of this cylinder is  \r\n" );
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document.write( "     =  =  = .\r\n" );
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document.write( "The slant height of the cone is  \r\n" );
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document.write( "    L =  =  =  = 13 cm.\r\n" );
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document.write( "The total surface area of the cone is \r\n" );
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document.write( "     =  +  =  +  =  = .\r\n" );
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document.write( "Now write the equation   = \r\n" );
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document.write( "     = \r\n" );
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document.write( "Simplify it\r\n" );
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document.write( "     h = 1.5*9 =  13.5.\r\n" );
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document.write( "ANSWER.  The height of the cone is 13.5 cm.\r\n" );
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