Carefully show all work and write your answers in the designated area. Consider a solid sonic boom, as shown below. It's outer shell can be described in 3-space as a cone: 2²+²-(+ 5)² = 0, -5≤ ≤5 (a) Using cylindrical coordinates, define the boom B as a region in (r.8, z) space: B = (b) Find the integral that gives the volume of the boom B. Warning: an integral gives 'signed' volume, which is not what is asked. Splitting the integral into the parts above and below the x - y axis is required. Volume (B) =

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