How do you use cylindrical shells to find the volume of a solid of revolution?

Question

How do you use cylindrical shells to find the volume of a solid of revolution?

1 Answer

Related questions

How do you find the volume of a solid of revolution using the disk method?
How do you find the volume of a solid of revolution washer method?
How do you find the volume of a cone using an integral?
How do you find the volume of the solid obtained by rotating the region bounded by $y = x$ $y=x$ and...
How do you find the volume of the solid obtained by rotating the region bounded by $y = x$ $y=x$ and...
How do I perform the following: $\int_{0}^{1} \int_{0}^{\sqrt{1 - x^{2}}} \int_{\sqrt{x^{2} + y^{2}}}^{\sqrt{2 - x^{2} - y^{2}}} x y d z d y d x$ $int_0^1int_0^sqrt(1-x^2)int_sqrt(x^2+y^2)^sqrt(2-x^2-y^2) xy dz dy dx$ ?
How do you find the volume of a region that is bounded by $x = y^{2} - 6 y + 10$ $x=y^2-6y+10$ and $x = 5$ $x=5$ and rotated...
How do you find the volume of a solid that is generated by rotating the region enclosed by the...
How do you find the volume of the solid generated by revolving the region bounded by the graph...
What is the volume of the region enclosed by $y = 2 - 0.5 x$ $y=2-0.5x$ , $y = 0$ $y=0$ , $x = 1$ $x=1$ , $x = 2$ $x=2$ , that is rotated...

Impact of this question

8185 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2014-09-25T20:49:18

If the solid is obtained by rotating the region between the graph of $f (x)$ $f(x)$ and the x-axis from $x = a$ $x=a$ to $x = b$ $x=b$ about the y-axis, the volume $V$ $V$ of the solid can be found by Shell Method:
$V = 2 π \int_{a}^{b} x f (x) d x$ $V=2pi int_a^b xf(x) dx$

Science

Math

Humanities

... and beyond

How do you use cylindrical shells to find the volume of a solid of revolution?

1 Answer

Related questions

Impact of this question