5. Find the volume of the solid generated by revolving about the x-axis the smaller areabounded by the equation x2+y²=2 and the semi-cubical parabola y3=x2.6. Show that when a hole of radius a is bored through the center of the sphere of radiusb, the volume of the sphere that is left is V= (4T/3)(b² - a²)(3/2)

Solution :- As per guidelines . I do first only.

Answered: 5. Find the volume of the solid…

5. Find the volume of the solid generated by revolving about the x-axis the smaller area bounded by the equation x2+y²=2 and the semi-cubical parabola y3=x2.

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.CR: Review Exercises

Problem 21CR: Find the volume of the solid of revolution that results when a right triangle with legs of lengths 5...

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Question

5. Find the volume of the solid generated by revolving about the x-axis the smaller area
bounded by the equation x2+y²=2 and the semi-cubical parabola y3=x2.
6. Show that when a hole of radius a is bored through the center of the sphere of radius
b, the volume of the sphere that is left is V= (4T/3)(b² - a²)(3/2)

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