Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

How do you find the volume of the solid bounded by $x = y^{2}$ $x=y^2$ and the line $x = 4$ $x=4$ rotated about the x axis?

1 Answer

Aug 6, 2015

$8 π$ $8pi$

Explanation:

$x = y^{2}$ $x = y^2$
$V = π \int_{0}^{4} y^{2} d x = \frac{π}{2} {[x^{2}]}_{0}^{2} = 8 π$ $V = pi int_0^4y^2dx = pi/2[x^2]_0^4 = 8pi$

Related questions

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

See all questions in Determining the Volume of a Solid of Revolution

Impact of this question

7214 views around the world

You can reuse this answer
Creative Commons License