The solid lies between planes perpendicular to the x-axis at x = -1 and x = 1. The cross sections perpendicular to the x-axis between these planes run from the semicircle y = √1 - x² and y = −√√√1 − x². - a) Find the volume of the solids that are perpendicular to the x-axis when the cross sections are circular disks with diameters in the xy-plane. b) Find the volume of the solids that are perpendicular to the x-axis when the cross sections are equilateral triangles with bases in the xy -plane.
The solid lies between planes perpendicular to the x-axis at x = -1 and x = 1. The cross sections perpendicular to the x-axis between these planes run from the semicircle y = √1 - x² and y = −√√√1 − x². - a) Find the volume of the solids that are perpendicular to the x-axis when the cross sections are circular disks with diameters in the xy-plane. b) Find the volume of the solids that are perpendicular to the x-axis when the cross sections are equilateral triangles with bases in the xy -plane.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.1: Prisms, Area And Volume
Problem 27E: The box with dimensions indicated is to be constructed of materials that cost 1 cent per square inch...
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