Concept explainers
Machine Design The top of a rubber bushing designed to absorb vibrations in an automobile is the surface of revolution generated by revolving the curve
for
(a) Find an equation for the surface of revolution.
(b) All measurements are in centimeters and the bushing is set on the x y-plane. Use the shell method to find its volume.
(c) The bushing has a hole of diameter 1 centimeter through its center and parallel to the axis of revolution. Find the volume of the rubber bushing.
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Chapter 11 Solutions
Calculus (MindTap Course List)
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- find the volume The base of the solid is the disk x2 + y2<= 1. The cross-sections by planes perpendicular to the y-axis between y = -1 and y = 1 are isosceles right triangles with one leg in the disk.arrow_forwardfind the volume . The base of the solid is the region bounded by the parabola y2 = 4x and the line x = 1 in the xy-plane. Each cross-section perpendicular to the x-axis is an equilateral triangle with one edge in the plane. (The triangles all lie on the same side of the plane.)arrow_forwardregion of the Cartesian plane is shaded. Use the Shell Method to find the volume of the solid of revolutionformed by revolving the region about the y-axis.arrow_forward
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