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A round hole of radius ofv3 cm is bored through the center of a solid sphere of radius 2 cm. Find the volume of the cut out.

A round hole of radius ofv3 cm is bored through the center of a solid sphere of radius 2 cm. Find the volume of the cut out.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A round hole of radius ofv3 cm is bored through the center of a solid sphere of radius 2 cm. Find the volume of the cut out. Find the volume of the solid generated by revolving about the line y = -1 the region above the x-axis bounded by the line 2y = x + 3 and the curves y?+x= 0 and y? - 4x = 0 form x = -1 to x =1. Find the volume of the solid generated by revolving the region bounded by the graph of y = 4x – x*, the y- axis, and the line y = 6 about the line x=2.
Transcribed Image Text:A round hole of radius ofv3 cm is bored through the center of a solid sphere of radius 2 cm. Find the volume of the cut out. Find the volume of the solid generated by revolving about the line y = -1 the region above the x-axis bounded by the line 2y = x + 3 and the curves y?+x= 0 and y? - 4x = 0 form x = -1 to x =1. Find the volume of the solid generated by revolving the region bounded by the graph of y = 4x – x*, the y- axis, and the line y = 6 about the line x=2.
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