Find the volume of the intersection of the regions $x^2+y^2\leq R^2$ and $x^2+z^2\leq R^2$ for any $R>0$.
121
Find the volume common to two circular cylinders, each with radius r, if the axes of the cylinders intersect at right angles. (using disk/washer)
69462
Find the volume inside the paraboloid $x^2+4z^2+8y=16$ and on the positive side of xz-plane
60281
Expected area of the intersection of two circles
34029
Find intersection of pairs of straight lines
134722
Intersection of straight line and circle
106803
How to see $\cos x \leq \exp(-x^2/2)$ on $x \in [0,\pi/2]$?
21570
Intersection of a family of non-empty closed intervals
132759
Area of intersection between two circles
15730
Determine the minimum of $a^2 + b^2$ if $a,b\in\mathbb{R}$ are such that $x^4 + ax^3 + bx^2 + ax + 1 = 0$ has at least one real solution
133611
Intersection of two vector spaces
123914
Calculating volume between two surfaces of revolution
82126
Volume of bounded region between sphere and a plane
24128
How do i show that $w=z^2$ maps $|z-1|\leq 1$ onto $R=2(1+\cos \theta)$?
138987
Find the volume of the largest right circular cone that can be inscribed in a sphere of radius r?
44887
The intersection of two parallel lines
132996
Intersection of surface with parallel planes
87850
How can I find the points at which two circles intersect?