Solved: The reflector behind a car headlight is made in the shape, Mathematics

The reflector behind a car headlight is made in the shape

Question: The reflector behind a car headlight is made in the shape of the parabola x = 4/9 y2, with a circular cross-section, as shown in Figure.

(a) Find a Riemann sum approximating the volume contained by this headlight.

(b) Find the volume exactly.

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Mathematics: The reflector behind a car headlight is made in the shape

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Mathematics: The reflector behind a car headlight is made in the shape

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