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.

The amount of water in the cylinder in term of π is: 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

1.30

step-by-step explanation: