Aug 11, 2017 · The volume of sphere using integrals Ask Question Asked 8 years, 3 months ago Modified 1 year, 8 months ago

Jan 23, 2021 · If this is the volume of the sphere, I am not sure how I am supposed to show this using the shell method. Any assistance would help! A picture below depicts the problem.

Jul 20, 2021 · I actually have found the solution using double integral in polar coordinate. However, I am curious about whether I could find the same exact solution using triple integral …

Jun 8, 2019 · A sphere is a 3-dimensional object. The 2-dimensional analogue of a sphere is a circle.

You can see that not all such cylinders have equal volume, just by considering the extreme case of when two of the points are very close together. You get either a long thin rod, or a big flat …

Dec 21, 2019 · Find the volume of the solid within the sphere $x^2+y^2+z^2=9$, outside the cone $z=\sqrt {x^2+y^2}$, and above the $xy$-plane. Using Cylindrical coordinates, $r^2+z^2=9$ …

Jan 18, 2020 · Thank you very much. It is indeed heartening to see that limit from $-\pi/2$ to $\pi/2$ also produces the same result. But, could you please clarify a thing for me. When I …

2 With given radius r of a sphere let the inscribed cone have height h then remaining length without radius is (h-r) let R be radius of cone then there we get a right angle triangle with r as …

Dec 5, 2015 · I need calculate volume of intersection(common part) 2 spheres using integrals. First sphere has center [5,0,0] and radius = 5 second sphere has [15,0,0] and radius ...

A quick intuitive check confirms that this answer makes sense: the volume of the sphere is given by $\frac {4} {3}\pi r^3$ which in this case is just $\frac {4} {3}\pi \approx 4.19 $, and we're …