6 мая 2016 г. · The volume is the integral of the surface area with respect to the radius. By the FTOC, the Surface Area is the derivative of the Volume.

21 апр. 2013 г. · In the case of a sphere, if r is increased by a small amount dr, the increase in volume dV is just the area A of the sphere multiplied by dr.

25 авг. 2017 г. · The surface area of a sphere is the derivative of its volume (with respect to its radius.) For instance, the volume of a 3-ball is 43πr3 4 3 π ...

17 дек. 2017 г. · 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 ...

9 дек. 2020 г. · Because of the Fundamental Theorem of Calculus. That is, it's easier to explain why the area is the integral of the circumference.

2 мар. 2018 г. · The derivative of the volume of a sphere is the surface of the sphere, however can one flatten out the surface into a two dimensional plane by ...

10 июл. 2022 г. · This means that the Volume is the Integral of the Surface Area with respect to the radius. By the FTOC, the Surface Area is the derivative of ...

16 сент. 2020 г. · 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 ...

5 сент. 2022 г. · Surface area to volume ratio is simply an object's surface area divided by its volume. It gives the proportion of surface area per unit volume ...

15 мар. 2021 г. · How are surface area and volume related? To put it short, the surface area should be the derivative or partial derivative of the volume.