document.write( "Question 1190570: 1 solid is a sphere and has a radius of 6 in the other solid is a cylinder with a radius of 6 in and a height of 6 in what is the difference the volumes have
\n" );
document.write( " in \n" );
document.write( "
Algebra.Com's Answer #822266 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "V = (4/3)*pi*r^3 .... volume of a sphere \n" ); document.write( "V = (4/3)*pi*6^3 \n" ); document.write( "V = 288pi \n" ); document.write( "The sphere has an exact volume of 288pi cubic inches.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "V = pi*r^2*h .... volume of a cylinder \n" ); document.write( "V = pi*6^2*6 \n" ); document.write( "V = 216pi \n" ); document.write( "The cylinder has an exact volume of 216pi cubic inches\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The difference of the volumes is \n" ); document.write( "sphere - cylinder = 288pi - 216pi = 72pi cubic inches\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Extra info: \n" ); document.write( "The ratio of the volumes is \n" ); document.write( "cylinder/circle = (216pi)/(288pi) = 3/4 \n" ); document.write( "meaning that the cylinder is exactly 3/4 the volume of the sphere \n" ); document.write( "cylinder volume = (3/4)*(sphere volume) \n" ); document.write( "This only works if r = h, and r is the same for both the sphere and cylinder. \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |