why is surface area the derivative of volume - Axtarish в Google
The rate of change of the volume of the sphere is equal to the surface area of the sphere . The outside of the paint is the new boundary of the sphere, and the inside of the paint is added to the volume. This explains why the derivative (rate of change) of the volume is the surface area (SA).
3 авг. 2017 г.
17 окт. 2017 г. · This video gives an informal explanation as to why the derivative of the volume of a sphere is equal to the surface area.
13 июл. 2018 г. · The derivative of the volume V=\frac{4}{3}\pi r^3 of a sphere of radius r with respect to r is the surface area S=4\pi r^2.
21 янв. 2019 г. · In this neat video, I use the Divergence Theorem to show that, in any dimension, the derivative of the volume of a ball of radius r gives ...
19 апр. 2018 г. · The first idea is to get kids to see the connection between the volume of a sphere and the surface area of a sphere. And then again for the area ...
Because the surface area is the rate of change of volume, the surface area of a sphere can be derived by taking the derivative of the sphere's volume. There are ...
3 февр. 2003 г. · We explore the idea that the derivative of the volume, V , of a region in Rd with respect to r equals its surface area, A, where r = d(V /A). We ...
22 февр. 2007 г. · Abstract: We explore the idea that the derivative of the volume, V, of a region in R^d with respect to r equals its surface area, A, ...
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