A cylinder has a 12-inch diameter and is 15 inches tall. It is filled to the top with water. A 6-inch-diameter ball is placed within the cylinder, and then the cylinder is filled with water. How much water is in the cylinder? Give your answer in terms of pi. 576π in3
591π in3
540π in3
504π in3

=504 π

Step-by-step explanation:

Volume of cylinder () = π

                where, r= radius of cylinder

                            h= height of cylinder

so,  = π× ×15

        = π×540

        =540 π

Now, volume of ball () = ×  π ×

                                      = × π ×

                                      =  36π

Amount of water in the tank=   -

                                             =540 π- 36π

                                             =504 π

Volume of cylinder:

Pi x r^2 x h = pi x 6^2 x 15 = 540pi in^3

Volume of ball:

4/3 x r^3 x pi = 4/3 x 3^3 x pi = 36 in^3

Amount of water = volume of cylinder - volume of ball:

540-36 = 504pi in^3

504pi in^3