The volume of a solid can be thought of as the an infinite sum of the areas of similar "shells" arranged around a single point. 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 the Volume .
6 мая 2016 г.
9 февр. 2021 г. · The area under a curve is the antiderivative, so it makes sense that volume and area are similarly related. Why is the derivative of the volume of a sphere equal to its ... (WHY) Area of a sphere = derivative of volume of a ... - Reddit Другие результаты с сайта www.reddit.com |
3 авг. 2017 г. · If we go back to 3-space, the surface area of a cube is the derivative of volume of a cube if you use s2 as your basis of measurement (this ... Is it simply a coincidence that if you differentiate the formula for ... Why isn't the derivative of the volume of the cone its surface area? Другие результаты с сайта math.stackexchange.com |
Videolar 13 июл. 2018 г. · By doing the same analysis, you can see why the derivative of the volume of sphere is its surface area. |
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 ... |
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 ... Volume of a Sphere · Derivative of the Volume of a... |
6 дней назад · Surprisingly, derivative relationships between volume and area of compact regions have not been widely investigated. |
Yes, they are related in most cases. Think of panting a shape.that increases the volume by dV and covers the surface area. lets look at some shapes. ... dV/dr = ... |
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