The region S is bounded by the curve y = VT, and the curve y = = x³. We revolve S about the x-axis to create a solid of revolution. To calculate the volume of this solid of revolution, Shall we use the washer or the disk method? • What is the volume of a representative slice (one disk or one washer Washer; * (x – aº) · Aæ Disk; "(V= – z*)² . Az Washer; "(VE – z*)² . Az Disk; * (x – 2º) · Ax
The region S is bounded by the curve y = VT, and the curve y = = x³. We revolve S about the x-axis to create a solid of revolution. To calculate the volume of this solid of revolution, Shall we use the washer or the disk method? • What is the volume of a representative slice (one disk or one washer Washer; * (x – aº) · Aæ Disk; "(V= – z*)² . Az Washer; "(VE – z*)² . Az Disk; * (x – 2º) · Ax
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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Transcribed Image Text:The region S is bounded by the curve y = VT, and the curve y = x³.
We revolve S about the x-axis to create a solid of revolution.
To calculate the volume of this solid of revolution,
• Shall we use the washer or the disk method?
• What is the volume of a representative slice (one disk or one washer)?
Washer;
* (x – 2º) · Az
Disk;
"(VE – 1²)² . Az
Washer;
Disk;
* (x – 2º) · Az
Transcribed Image Text:The region R is bounded by the x-axis, the curve y = x3, and the line x = 8.
We revolve R about the x-axis to create a solid of revolution.
To calculate the volume of this solid of revolution,
• Shall we use the washer or the disk method?
• What is the volume of a representative slice (one disk or one washer)?
Washer;
=(zi - a)° . Az
Disk;
=(z³ - 2)* . Az
Disk;
TL³ · Ar
Washer;
TL3 · Ax
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