Answer:
252π ≈ 791.7 cubic units
Step-by-step explanation:
The relevant volume formulas are:
cone: V = 1/3πr²h
cylinder: V = πr²h
the radius is half the diameter
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The volume of the cone is ...
V = 1/3π(4²)(9) = 48π . . . cubic units
The volume of the cylinder is ...
V = π(5²)(12) = 300π . . . cubic units
The volume of water remaining in the cylinder after the cone is filled is ...
cylinder volume - cone volume
= 300π -48π = 252π ≈ 791.7 . . . cubic units
