Find the volume of the solid that is bounded by the surfaces z = 72 - x2 - y2 in the first octant. Give your answer correct to 2 decimal places.
Find the volume of the 'cover' that is bounded by 32 < x2 + y2 + 22 < 102 and the upper cone z2 = 2x2 + 2y? Leave your final answer correct to 2 decimal places.
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