What exactly does it mean to say "$dv=4\pi r^2\,dr$ can be thought of as the spherical volume element between $r$ and $r+dr$"?
44181
Volume of spherical shell with $dr$ thickness
31273
What does $dx$ mean?
16412
Find the diameter of the new sphere assuming that the volume of a sphere is proportional to the cube of its diameter
86193
Rigorous proof that $dx dy=r\ dr\ d\theta$
66945
What exactly does $\dot\sim$ notation mean?
81890
What does $2^{\mathbb R}$ mean?
54582
Divergence of $\frac{ \hat {\bf r}}{r^2} \equiv \frac{{\bf r}}{r^3}$, what is the 'paradox'?
85
Difference between $\Delta$, $d$ and $\delta$
60522
Why is the mole/"amount of substance" a dimensional quantity?
64638
What is the physical significance of curl $\nabla\times\boldsymbol{V}$?
11762
Compactness of a Sphere
140256
Moment of inertia of a hollow sphere wrt the centre?
93539
Why is $M\frac{dv}{dt} = v_{rel} .\frac{dm}{dt}$ correct and $(M - dm)\frac{dv}{dt} = v_{rel} .\frac{dm}{dt}$ wrong?
61585
Why is area of a surface of revolution integral $2\pi y~ds$? not '$dx$'?
17161
Can anyone make me understand in simple language why the second condition for being an Euclidean domain is superfluous?
133186
Understanding the "$\pi$" of a rotating disk
64920
Boundary Question in $\mathbb{R}^{2}$ (Manifolds)