Finding the volume of a solid of revolution (shell method) Using the shell method, determine the volume of a solid formed by revolving the region bounded by the line y = 2x + 15 and the curve y r2 about the line z = -3. The 2d picture below may help in determining the radius and height of the shell used in setting up the integral for the volume. For a dynamic 3d look at the solid, click here (This will open a new window.) Part 1. Setup the integral that represents the volume of the solid of revolution described above. Part 2. The volume of the solid is units cubed. NOTE: Type an exact value without using decimals.
Finding the volume of a solid of revolution (shell method) Using the shell method, determine the volume of a solid formed by revolving the region bounded by the line y = 2x + 15 and the curve y r2 about the line z = -3. The 2d picture below may help in determining the radius and height of the shell used in setting up the integral for the volume. For a dynamic 3d look at the solid, click here (This will open a new window.) Part 1. Setup the integral that represents the volume of the solid of revolution described above. Part 2. The volume of the solid is units cubed. NOTE: Type an exact value without using decimals.
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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