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For each volume problem, draw the coordinate plane and a picture of the solid. Also draw a thin crosssection or a cylindrical shell. Then show a sequence of logical steps involving an integral to compute the volume. 4-. Derive the formula for the volume of a sphere with radius 1" using a] the disk method. h] the shell method. 5. A regular pyramid has a square base of side i and its apex located h units above the center of its base. Use an integral to derive the volume formula in terms ofl and h. 6. Find the volume of the solid formed when the region bounded by the xaxis, the lines x = 1 and 3 x = 2. and the curve with equation 3; = x x2 + 1 is revolved about the y-axis