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A curved wedge is cut from a cylinder of radius 3 by two planes. One plane is perpendicular to the axis of the cylinder. The second plane crosses the first plane at a 45° angle at the center of the cylinder. Find the volume of the wedge. 2V9-x2 Ada the 3 volumes

A curved wedge is cut from a cylinder of radius 3 by two planes. One plane is perpendicular to the axis of the cylinder. The second plane crosses the first plane at a 45° angle at the center of the cylinder. Find the volume of the wedge. 2V9-x2 Ada the 3 volumes

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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For the area formula for this problem, is this the formula for a 45 degree triangle? Where did A=(height)(width) come from? 

Ex. 2 A curved wedge is cut from a cylinder of radius 3 by two planes. One plane is perpendicular to the axis of the cylinder. The second plane crosses the first plane at a 45° angle at the center of the cylinder. Find the volume of the wedge. 2V9-2 Ada the 3 volumes A(x)= (height)(widh= Cx (2[9-x2) mecrangle runs from x-0 X=3 45° A(x) da =Sax/9-p da V= 2 =9-x2 %3D a ( 2 3 2) -3 .2 x, -V9 – x 2 3. 2 36 (27)%3D118 cubic urite 3.
Transcribed Image Text:Ex. 2 A curved wedge is cut from a cylinder of radius 3 by two planes. One plane is perpendicular to the axis of the cylinder. The second plane crosses the first plane at a 45° angle at the center of the cylinder. Find the volume of the wedge. 2V9-2 Ada the 3 volumes A(x)= (height)(widh= Cx (2[9-x2) mecrangle runs from x-0 X=3 45° A(x) da =Sax/9-p da V= 2 =9-x2 %3D a ( 2 3 2) -3 .2 x, -V9 – x 2 3. 2 36 (27)%3D118 cubic urite 3.
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