5. Define E as the smallest region contained inside the cylinder x2 + y² 4, and bounded by the surfaces 2² + y? + z2 29 and 2 = 5 – x2 – y² . (a) Write a triple iterated integral representing the...

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Extracted text: 5. Define E as the smallest region contained inside the cylinder x2 + y² 4, and bounded by the surfaces 2² + y? + z2 29 and 2 = 5 – x2 – y² . (a) Write a triple iterated integral representing the volume of the region E. Do not evaluate it! (b) Show that the volume of the region E is larger than 247.