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 cyl

Question

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.

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Ruby 12 mins 2022-01-14T12:26:21+00:00 2 Answers 0 views 0

Answers ( )

    0
    2022-01-14T12:28:02+00:00

    Answer:

    The amount of water in the cylinder in term of π is: 504 π.

    Step-by-step explanation:

    Volume of cylinder (V_{1}) = πr^{2}h

                     where, r= radius of cylinder

                                 h= height of cylinder

    so,  V_{1}= π× 6^{2}×15

             = π×540

             =540 π

    Now, volume of ball (V_{2}) =\frac{4}{3} ×  π ×r^{3}

                                           = \frac{4}{3} × π × 3^{3}

                                           =  36π

    Amount of water in the tank=  V_{1}V_{2}

                                                  =540 π- 36π

                                                  =504 π

    0
    2022-01-14T12:28:15+00:00

    Answer:

    504 i took the test

    Step-by-step explanation:

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