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...

See similar textbooks