Use shell method to find the volume of the solid generated by revolving the region bounded by y...
Question:
Use shell method to find the volume of the solid generated by revolving the region bounded by {eq}y = \cos x^2, y =0 ; \quad 0 \leq x \leq \sqrt{\pi/2} {/eq} about the y-axis.
Volume of Revolution With Shell Method:
There are times when it is simplest to find the volume of a solid of revolution by using the shell method. If a region is rotated about an axis parallel to the {eq}y {/eq}-axis, the formula for volume using the shell method is:
{eq}V=2\pi\int_{a}^{b}r(x)h\left ( x \right )dx {/eq}
where {eq}r(x) {/eq} is the radius of the cylindrical shell and {eq}h(x) {/eq} is the height.
Answer and Explanation: 1
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View this answerTo find the volume of the solid generated by revolving the region bounded by {eq}y = \cos x^2, y =0 ; \quad 0 \leq x \leq \sqrt{\pi/2} {/eq} about...
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Shell Method Formula, Equation & Examples
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Chapter 14 / Lesson 6
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Learn what the shell formula is. Understand when to use the shell method and how to derive the shell method formula. Practice using the shell method by following along with examples.
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