Concept explainers
To find: the volume of the solid if cross section perpendicular to the x axis.
Answer to Problem 20RE
The volume of the solid region bounded by curves
Explanation of Solution
Given information:
The base of a solid is the region bounded by parabolas
Calculation:
Show the Equations of parabola as follows:
Equate Equation (1) and (2).
Solve the equation.
Hence, the limits of the region bounded by the curves is
Find the volume of the region using the formula:
Substitute
The region bounded by the curve is symmetrical about the x axis.
Rearrange Equation (4) as shown below
Therefore, the volume of the solid region bounded by curves
Chapter 6 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning