document.write( "Question 1181724: 17. Find the volume of the largest right circular cylinder of altitude 8 in. that can be cut from a sphere of diameter 12 in. \n" ); document.write( "
Algebra.Com's Answer #850000 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "There largest right circular cylinder with height 8 that can be cut from a sphere with diameter 12 is the cylinder that can be inscribed in the sphere. \n" ); document.write( "For that cylinder, each base is 8/2 = 4 units from the center of the sphere. Then, from the Pythagorean Theorem, with the radius of the sphere being 6, the radius of each base of the cylinder is 2*sqrt(5). \n" ); document.write( "And then the volume of the cylinder is \n" ); document.write( " \n" ); document.write( "ANSWER: 160pi \n" ); document.write( " \n" ); document.write( " |