Answered: Write and evaluate the definite…

Write and evaluate the definite integral that represents the volume of the solid formed by revolving the region about the y-axis y = V 25 - x уз 2

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.3: Cylinders And Cones

Problem 43E: A frustum of a cone is the portion of the cone bounded between the circular base and a plane...

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Hey, i'm studying on the applications of integrals and need some step-by-step explanation on how to solve this problem. This question uses the disk method but my understanding is still a bit fuzzy.

Question:

Write and evaluate the definite integral that represents the volume of the solid formed by revolving the region about the y-axis.

y = sqrt(25-x²)

How would you go about solving this?

Thanks!

Write and evaluate the definite integral that represents the volume of the solid formed by revolving the region about the y-axis
y = V 25 - x
уз
2

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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