document.write( "Question 1181029: A 3-inch diameter hole is drilled 6inches deep into the center and normal to the top face of brass cube 8 inches on the side. The hole is filled with lead. If a brass weighs 525lb/ft^3 and the lead weighs 705lb/ft^3. Find the total mass of the two metals \n" ); document.write( "
Algebra.Com's Answer #810889 by htmentor(1343)![]() ![]() You can put this solution on YOUR website! The mass of brass is equal to the volume of the cube minus the hole times the \n" ); document.write( "density of brass \n" ); document.write( "The mass of lead is equal to the volume of the hole times the density of lead \n" ); document.write( "The volume of the cube = 8^3 = 512 in^3 \n" ); document.write( "The volume of the hole = pi*r^2*l = pi*(3/2)^2*6 = 41.412 in^3 \n" ); document.write( "Convert the densities to lb/in^3. 1 ft^3 = 1728 in^3 \n" ); document.write( "525 lb/ft^3 = 525/1728 = 0.30382 lb/in^3; 705 lb/ft^3 = 0.40799 lb/in^3 \n" ); document.write( "Thus the mass of brass = (512 - 41.412)*0.30382 = 142.974 lb \n" ); document.write( "The mass of lead = 41.412*0.40799 = 16.896 lb \n" ); document.write( " |