document.write( "Question 109189: 4. Landscaping- Decorative Moon Rocks cost $92 per cu yd. What will be the cost of a conical pile of this rock 3 1/3 yd in diameter and 2 1/4 yd high? Round to nearest dollar. \n" ); document.write( "
Algebra.Com's Answer #79683 by ankor@dixie-net.com(22740)\"\" \"About 
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Moon Rocks cost $92 per cu yd. What will be the cost of a conical pile of this rock 3 1/3 yd in diameter
\n" ); document.write( " and 2 1/4 yd high? Round to nearest dollar.
\n" ); document.write( ":
\n" ); document.write( "WE know the volume of a cone: V = \"%281%2F3%29%2Api%2Ar%5E2%2Ah\"
\n" ); document.write( ":
\n" ); document.write( "Let the diameter which is given as: 3 1/3 = \"10%2F3\"
\n" ); document.write( "Find the radius: \"1%2F2\" * \"10%2F3\" = \"10%2F6\"= \"5%2F3\"
\n" ); document.write( "and
\n" ); document.write( "Let the height which is given as: 2 1/4 = \"9%2F4\"
\n" ); document.write( ":
\n" ); document.write( "V = \"%281%2F3%29%2Api%2A%285%2F3%29%5E2%2A%289%2F4%29\"
\n" ); document.write( ":
\n" ); document.write( "V = \"%281%2F3%29%2Api%2A%2825%2F9%29%2A%289%2F4%29\"
\n" ); document.write( ":
\n" ); document.write( "Note that in \"%2825%2F9%29%2A%289%2F4%29\" we can cancel the 9:
\n" ); document.write( "V = \"%281%2F3%29%2Api%2A%2825%2F4%29\"
\n" ); document.write( "V = \"%2825%2F12%29%2Api\"
\n" ); document.write( "V = 6.545 cu yd
\n" ); document.write( ":
\n" ); document.write( "Cost = 6.545 * 92 = 602.13 = $602
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