document.write( "Question 282089: How do I find the radius of a this cylinder?
\n" ); document.write( "The height (h) is twice the radius (r) The total area is 150π\r
\n" ); document.write( "\n" ); document.write( "I set up the equation 2πr(2r)+2πr^2 = 150π
\n" ); document.write( "now what?
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Algebra.Com's Answer #204858 by richwmiller(17219)\"\" \"About 
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what is the formula for the area of a cylinder?
\n" ); document.write( "Does total area include the top and bottom surface areas?
\n" ); document.write( "height =2r radius =r area =150
\n" ); document.write( "2 pi r^2 h is the lateral surface area
\n" ); document.write( "2 pi r (r+h) all surface areas including top and bottom\r
\n" ); document.write( "\n" ); document.write( "2 pi r^2*2r =150 pi
\n" ); document.write( "4 pi r^3=150
\n" ); document.write( "r^3=150/4
\n" ); document.write( "r^3=75
\n" ); document.write( "r=3.35
\n" ); document.write( "or
\n" ); document.write( "2 pi r (r+h)=150 pi
\n" ); document.write( "2 pi r *(3r)=150 pi
\n" ); document.write( "6 pi r^3=150 pi
\n" ); document.write( "r^3=150/6
\n" ); document.write( "r^3=25
\n" ); document.write( "r=2.92
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