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Problem 42 Easy Difficulty

Each integral represents the volume of a solid. Describe the solid.

$ \pi \displaystyle \int_{1}^4 [3^2 - (3 - \sqrt{x})^2] dx $


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01:33

WZ

Wen Zheng

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Calculus 2 / BC

Calculus: Early Transcendentals

Chapter 6

Applications of Integration

Section 2

Volumes

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Applications of Integration

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Video Transcript

We know that when we're looking integration with respect to X, we know rotation is about the X axis, not the y axis. Therefore, we know we have an outer and inner radius out of radius is three and a radius is three mine escort of acts. Therefore, we know we obtained this by rotating the region around. Why is three months skirt of X and why is three in the interval 14 about the X axis?

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Calculus: Early Transcendentals

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