document.write( "Question 1078515: A cone is half filled with water. How deep is d water if d diameter is 12cm and the height is 16cm. \n" ); document.write( "
Algebra.Com's Answer #692941 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! The volume of a cone is \n" ); document.write( ": \n" ); document.write( "volume(V) = (1/3) * pi * r^2 * h, where pi = 22/7, r is radius of base, h is height \n" ); document.write( ": \n" ); document.write( "V = (1/3) * (22/7) * (12/2)^2 * 16 = 603.1858 cubic cm's \n" ); document.write( ": \n" ); document.write( "The cone is half filled \n" ); document.write( ": \n" ); document.write( "(1/2) * 603.1858 = 301.5929 cubic cm's \n" ); document.write( ": \n" ); document.write( "we use the formula for V to calculate the height for half filled cone \n" ); document.write( ": \n" ); document.write( "301.5929 = (1/3) * pi * (12/2)^2 * h \n" ); document.write( ": \n" ); document.write( "37.6991 * h = 301.5929 \n" ); document.write( ": \n" ); document.write( "h = 8.000002653 approx 8 cm \n" ); document.write( ": \n" ); document.write( "***************************************** \n" ); document.write( "The depth of the half filled cone is 8 cm \n" ); document.write( "***************************************** \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( " |