Find the volume of the solid generated by revolving the shaded region about the y-axis. 24 010.5xy nbsp x equals 4 tangent left parenthesis StartFraction pi Over 6 EndFraction y right parenthesis A coordinate system has a horizontal x-axis labeled from less than 0 to 4 in increments of 2 and a vertical y-axis labeled from less than 0 to 1 plus in increments of 0.5. A smooth curve, rising from left to right at a decreasing rate, is labeled "x equals 4 tangent left parenthesis StartFraction pi Over 6 EndFraction y right parenthesis." The curve passes through (0, 0) and approximately passes through (1.3, 0.6) and (2.3, 1). A horizontal line segment runs from the y-axis to the curve at y-coordinate 1. The area bounded by the y-axis and the curve is shaded from y equals 0 to y equals 1. Question content area bottom Part 1 The volume of the solid generated by revolving the shaded region about the y-axis is 10 left parenthesis 2 StartRoot 3 EndRoot minus pi right parenthesis . (Type an exact answer, using pi as needed.)