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- Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a lateral area. b total area. c volume.Find the exact volume of the solid that results when the region bounded in quadrant I by the axes and the lines x=9 and y=5 revolved about the a x-axis b y-axis9. Find the volume of the solid obtained by rotating the region bounded by y = √x x = 0, and x = 4 about the x-axis
- Calculate the volume of the infinite solid obtained by rotating the region under y = (x2 + 1) −2 for 0 ≤ x < ∞about the y-axis.find the volume (in units 3) generated when the region between the curves is rotated around the given axis y=2x^3-1, y=x, and x=2 rotated around the y-axisA solid is formed by revolving the region bounded by the graph of f(x)= x^-p and the x-axis fro 0<x≤ 1 around the y axis. For what values of p is the volume of the solid finite?
- Compute the exact area under y=4x2, above the axis and between x=0, x=1.3.Calculate the volume of the rotating object that occurs if the area in the first quadrant is bounded by the curve x = y2 + 1, the X axis, the line y = 1, and is rotated around the Y axis1.7. determine the volume of a solid which is made by rotating the region enclosed by the curves (which are given in the inage provided) around the x axis. give your answer as a intergral.