The disk bounded by the circle x² + y² = a² is revolved about the y-axis t make a sphere. Then a hole of diameter a is bored through the sphere along th y-axis (from north to south pole, like a cored apple). Find the volume of th resulting “cored" sphere. (Hint: Draw a picture of the two-dimensional region t be revolved, and label parts of your picture to help set up the integration.)

The disk bounded by the circle x² + y² = a² is revolved about the y-axis t make a sphere. Then a hole of diameter a is bored through the sphere along th y-axis (from north to south pole, like a cored apple). Find the volume of th resulting “cored" sphere. (Hint: Draw a picture of the two-dimensional region t be revolved, and label parts of your picture to help set up the integration.)

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter65: Achievement Review—section Six

Section: Chapter Questions

Problem 51AR

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