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Find the volume obtained if the figure formed when the region bounded by y=x^2 and y = 2x is rotated about the x-axis.
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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 volume generated by revolving the area bounded by y = x3 – x2 , x-axis, about y-axis by using circular washer methodFind the volume obtained by rotating the region bounded by y = square root x and y = x around the line y = 2.
- The area bounded by the curve y^2=4x and the line 2x-y=12 is revolved about the y axis. find the volume generatedFind the volume of the solid generated by revolving the region bounded by x= square root (1-y^2) and the line x= 1/2 about the y-axis.Find the volume of the solid generated by revolving the region bounded by y =sqrt x, y =x-2 in the first quardrant about the1)y_axis 2) x_axis
- Find the volume of the solid formed by invoving the region by the graphs y=x^3 , y = 0 , x = 1 , about x = 2Compute the volume occupied by revolving a circle of radius 3 m from the axis about 10 m radius away from its centroid.Find the volume obtained by rotating the region bounded by y = square root x and y = x around the line x = 1.
- What is the volume of the solid generated when the region bounded by the graph of y=x’3, the vertical line x=4, and the horizontal line y=8 is revolved about the horizontal line y=8?Find the volume generated by revolving the region above the curve y=x3 , under the line y=1, and between x= 0 and x=1, about the y-axis. Please give a clear explanationFind the volume of the solid formed by revolving the region bounded by y = x − x3 and the x-axis (0 ≤ x ≤ 1) about the y-axis