Definition of Volume of a Solid | California State University, Northridge - Edubirdie

University:
California State University, Northridge
Course:
MATH 150B | Calculus II
Academic year:

2023
Views:

370

Pages:

1
Author:

Annisa F.

Definition of Volume of a Solid The volume of Section wea is integral of a solid with known integrable cross A(x) from xこな A Frum A to b. VA(v) dx Method of sticing: 1) Sketch the solid and thypical cross section 2) Find A formula for v(x) (Note that v(x) is used instead of A(x)) 3) Find the limits of integration 4) Integiate (x) to find volume This application of the method of slicing is called the dat methods The shape of the slice is a disk, so we use the formula for the mea of a circle to find the volume of the disk. 1) A shape rotated about the x-axis would be: Vn f(x) dx 2) A shape rotated about the y-axis wolud be

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