document.write( "Question 100565: a water tank in the shape of a cone holds 100 cubic feet of water and has a diameter of 6 feet. estimate its height \n" ); document.write( "
Algebra.Com's Answer #73220 by doukungfoo(195)\"\" \"About 
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The volume of a cone is equal to area of the base times the height times 1/3
\n" ); document.write( "The base of a cone is a circle.
\n" ); document.write( "Area of circle equals \"%28pi%29\" times \"%28radius%29%5E2\"
\n" ); document.write( "To use this formula we need the radius but all that is given is the diameter
\n" ); document.write( "so to find radius just divide diameter by 2
\n" ); document.write( "6/2=3
\n" ); document.write( "The radius is 3 feet.
\n" ); document.write( "Now we can find the area of the base. Use 3.14 for \"%28pi%29\"
\n" ); document.write( "\"a=%283.14%29%283%29%5E2\"
\n" ); document.write( "\"a=%283.14%29%289%29\"
\n" ); document.write( "\"a=28.26\"
\n" ); document.write( "Now we can use the volume formula to find the height of the cone.
\n" ); document.write( "volume=(area of base)(height)(1/3)
\n" ); document.write( "\"100=%2828.26%29%28h%29%281%2F3%29\"
\n" ); document.write( "\"100=%2828.26h%29%2F3\"
\n" ); document.write( "\"300=28.26h\"
\n" ); document.write( "\"300%2F28.26=h\"
\n" ); document.write( "\"10.61571125=h\"
\n" ); document.write( "So a good estimate for the height of the cone shaped water tank is
\n" ); document.write( "10.6 feet\r
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