document.write( "Question 1007619: A crystal ball with a diameter of 6 inches is being packaged for shipment. If the crystal ball is placed inside a circular cylinder with radius 3 inches and height 6 inches, how much volume will need to be filled with padding? (The volume of a sphere with radius r is 43πr3, and the volume of a right circular cylinder with radius r and height is πr2h.) Use \"pi\" for π. \n" ); document.write( "
Algebra.Com's Answer #623537 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! The volume of padding is the volume of the cylinder minus the volume of the sphere...so (remember radius is half the diameter)... \n" ); document.write( "V = (pi)r^2*h - (4/3)(pi)r^3 \n" ); document.write( "V = (pi)(3^2)(6) - (4/3)(pi)(3^3) \n" ); document.write( "V = 54(pi) - 36(pi) \n" ); document.write( "V = 18(pi) cubic inches \n" ); document.write( " |