document.write( "Question 1112271: Nine solid metal spheres, each of radius 2 cm, are dropped into a cylinder partly filled with water. If the spheres are totally immersed, find the increase in the height of the water if the radius of the cylinder is 3 cm. \n" ); document.write( "
Algebra.Com's Answer #727276 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! volume of each sphere is (4/3)*pi*r^3=(4/3)*pi*8, or 32pi/3 cm^3 \n" ); document.write( "9 of them are 96 pi cm^3 total volume \n" ); document.write( "Volume of the container is pi*r^2*h=9*pi*h cm^3 \n" ); document.write( "96 pi/9 pi=h \n" ); document.write( "h=96/9=10 2/3 or 32/3 cm. ANSWER \n" ); document.write( " |