Find by triple integral the volume of the paraboloid of revolution \( z^2 + y^2 = 4z \), cut off by the plane \( z = 4 \).

The volume of the paraboloid of revolution defined by z 2 + y 2 = 4 z cut off by the plane z = 4 is calculated to be 8 π . This is done using cylindrical coordinates and triple integrals, capturing the shape's boundaries effectively. The final result shows the total volume contained within the specified limits.
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Answered by Anonymous | 2025-07-04

To find the volume of the paraboloid of revolution given by z 2 + y 2 = 4 z , cut off by the plane z = 4 , we can use a triple integral. ;

Answered by ElijahBenjaminCarter | 2025-07-06