3 авг. 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 ... |
30 янв. 2019 г. · As long as things are continuous and differentiable, this approach tells you that the derivative of the volume is the surface area. – Arthur. |
30 апр. 2017 г. · Derivative of volume of ball is surface area of sphere, but derivative of area of square is half its perimeter. 2 · Relation of surface area ... |
8 дек. 2015 г. · Notice, volume of the sphere is given as V=4π3r3. differentiating volume V w.r.t. time t as follows dVdt=43π(3r2drdt)=4πr2drdt. |
12 мар. 2023 г. · The derivative of the volume is the surface area if the shapes are parametrized by moving the boundary at unit speed in the normal direction. |
25 нояб. 2019 г. · The derivative of the volume of a ball WRT radius is the surface area of the 2-sphere. The derivative of the area of a circle is WRT radius is the ... |
3 апр. 2017 г. · 8πr=4π×ℓ=2×H(4πr2) where ℓ=2r is the mean width for a ball with radius r and H=1r is the mean curvature for corresponding sphere. |
11 мар. 2013 г. · The same holds in one higher dimension: the volume of a sphere is 43πr3 and the derivative of this is the surface area: 4πr2. |
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