document.write( "Question 1048464: A circular pool measures 10 feet across. One cubic yard of concrete is to be used to create a circular border of uniform width around the pool. If the border is to have a depth of 3 inches, how wide will the border be? Use 3.14 to approximate π. Express your solution rounded to two decimal places. (1 cubic yard = 27 cubic feet).
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #664066 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A circular pool measures 10 feet across. One cubic yard of concrete is to be used to create a circular border of uniform width around the pool. \n" ); document.write( " If the border is to have a depth of 3 inches, how wide will the border be? \n" ); document.write( " Use 3.14 to approximate π. Express your solution rounded to two decimal places. (1 cubic yard = 27 cubic feet). \n" ); document.write( ": \n" ); document.write( "let w = the width of the border \n" ); document.write( "3 inches = .25 ft \n" ); document.write( ": \n" ); document.write( "Then the circular area including pool and the border, radius =(w+5) \n" ); document.write( "Border area = Total area - pool area \n" ); document.write( "B.A = \n" ); document.write( "B.A = 3.14(w^2 +10w + 25) - (3.14*25) \n" ); document.write( "B.A.= 3.14w^2 + 31.4w + 25 - 78.5 \n" ); document.write( "B.A.= 3.14w^2 + 31.4w - 53.5 \n" ); document.write( "Using the volume (27) given and thickness of this area (.25ft) \n" ); document.write( ".25(3.14w^2 + 31.4w - 53.5) = 27 \n" ); document.write( ".785w^2 + 7.85w - 13.375 - 27 = 0 \n" ); document.write( "a quadratic equation \n" ); document.write( ".785w^2 + 7.85w - 13.625 = 0 \n" ); document.write( "I got a positive solution \n" ); document.write( "w = 1.51 ft wide, the concrete border\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |