2. A circular cylindrical hole is bored through a solid sphere, the axis of the hole is being a diameter of the sphere. If the volume of the remaining solid portion of the sphere is V = c√3 2π 2 1th LV² VE rdrdzde, then a) find the radius of the hole and the radius of the sphere, b) evaluate the integral. √4-2²

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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2. A circular cylindrical hole is bored through a solid sphere, the axis of the hole is being a
diameter of the sphere. If the volume of the remaining solid portion of the sphere is V =
2π
2 1th LV LAVE
rdrdzde, then
a) find the radius of the hole and the radius of the sphere,
b) evaluate the integral.
Transcribed Image Text:2. A circular cylindrical hole is bored through a solid sphere, the axis of the hole is being a diameter of the sphere. If the volume of the remaining solid portion of the sphere is V = 2π 2 1th LV LAVE rdrdzde, then a) find the radius of the hole and the radius of the sphere, b) evaluate the integral.
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