document.write( "Question 763977: A soup can is made up of a side, a top, and a bottom. If the diameter and height of the can are equal and the volume is 128pi units^3, what is the total surface area of the can in square units? \n" ); document.write( "
Algebra.Com's Answer #465283 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! Diameter = x \n" ); document.write( "Radius = x/2 \n" ); document.write( "Height = x \n" ); document.write( "Volume = Pi*(x/2)^2*x \n" ); document.write( "128Pi = Pi*x/4 * x \n" ); document.write( " 128 = x^3/4 \n" ); document.write( " x^3 = 4 * 128 \n" ); document.write( " x^3 = 512 \n" ); document.write( " x = cube root of 512 \n" ); document.write( " x = 8 units \n" ); document.write( "Height = 8 units \n" ); document.write( "Radius = 4 units \n" ); document.write( "Surface area of totally enclosed can = \n" ); document.write( "2*Pi*r^2 + Pi*r*h \n" ); document.write( "2*Pi*4^2 + Pi*4*8 \n" ); document.write( "=201.1 units^2 \n" ); document.write( "Hope this helps. \n" ); document.write( ";-) \n" ); document.write( " |