Use cylindrical coordinates to evaluate the triple integral ∭ where E is the solid bounded by the circular paraboloid z = 9 - 16(x^2 + y^2) and the xy -plane.

Step-by-step explanation:

The Cylindrical coordinates are:

x = rcosθ, y = rsinθ and z = z

From the question, on the xy-plane;

where:

0 ≤ r ≤ and 0 ≤ θ ≤ 2π

∴

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step-by-step explanation:

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