## Related questions with answers

Question

Use the result of the previous part to find the volume of the solid generated by revolving each plane region about the y-axis. (Hint: Begin by approximating the points of intersection.)

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 9**The Shell Method**
The formula that gives the volume of a solid formed by rotating a plane region around the $y-$axis is given in the following form:

$\begin{align*} \color{#c34632} \text{Volume}=V=2\pi \int_a^b p(x)\cdot h(x)\, dx \tag{1} \end{align*}$

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