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. Why take the derivative with respect to time (or some other ... geometry - Surface Area is the derivative of Volume, what is the ... Calculus Rates Of Change In A Sphere - Math Stack Exchange Другие результаты с сайта math.stackexchange.com |
31 мая 2022 г. · Let the volume be V. V = 4/3 (π) r³. To find the rate of change of volume with time, we will differentiate above equation with respect to time. How can the derivative of volume of a sphere be calculated? What is the rate of change of volume of sphere with respect to ... Why is the surface area of a sphere the derivative of the volume ... What is the second time derivative of spherical volume in terms ... Другие результаты с сайта www.quora.com |
The rate of change of volume and area of a sphere is defined as the change of volume (dv) and change of area (da) of a sphere with respect to time (dt). |
Assume that the radius r of a sphere is expanding at a rate of 40 cm/min. The volume of a sphere is V = (4/3)pi * r^3 and its surface area is A = 4pi * r^2. |
5 нояб. 2024 г. · Click here 👆 to get an answer to your question ✍️ derivative of the volume of a sphere in respect to time. |
The volume of sphere is given by V = 4/3 πR3 where R is the radius of sphere. The rate of change of volume with respect to R is 4πR2. |
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