What is the relationship between the derivative of the volume and the surface area of shapes? - Quora
![At what approximate rate (in cubic meters per minute) is the volume of a sphere changing at the instant when the surface area is 5 square meters and the radius is increasing At what approximate rate (in cubic meters per minute) is the volume of a sphere changing at the instant when the surface area is 5 square meters and the radius is increasing](https://useruploads.socratic.org/DHBMheW0RpCGhjlyOSPu_Sphere_1.jpg)
At what approximate rate (in cubic meters per minute) is the volume of a sphere changing at the instant when the surface area is 5 square meters and the radius is increasing
![Q: Is it a coincidence that a circles circumference is the derivative of its area, as well as the volume of a sphere being the antiderivative of its surface area? What is Q: Is it a coincidence that a circles circumference is the derivative of its area, as well as the volume of a sphere being the antiderivative of its surface area? What is](https://www.askamathematician.com/wp-content/uploads/2013/02/circumference.jpg)
Q: Is it a coincidence that a circles circumference is the derivative of its area, as well as the volume of a sphere being the antiderivative of its surface area? What is
![Calculus 3: Partial Derivative (3 of 50) Understanding What is a Partial Derivative: Example 1 - YouTube Calculus 3: Partial Derivative (3 of 50) Understanding What is a Partial Derivative: Example 1 - YouTube](https://i.ytimg.com/vi/ogXND9_-ho4/hqdefault.jpg)
Calculus 3: Partial Derivative (3 of 50) Understanding What is a Partial Derivative: Example 1 - YouTube
![SOLVED: The total derivative (or) resulting absolute change in the volume of the cylinder is 2 dV = 2xrhdr+Tr dh dV =bhdl +lhdb+lb dh dV =Tr hdr+2xr dh dV = Trhdr+Tr 2 SOLVED: The total derivative (or) resulting absolute change in the volume of the cylinder is 2 dV = 2xrhdr+Tr dh dV =bhdl +lhdb+lb dh dV =Tr hdr+2xr dh dV = Trhdr+Tr 2](https://cdn.numerade.com/ask_images/8e88cff830084150a65bbf7d4e6ba195.jpg)
SOLVED: The total derivative (or) resulting absolute change in the volume of the cylinder is 2 dV = 2xrhdr+Tr dh dV =bhdl +lhdb+lb dh dV =Tr hdr+2xr dh dV = Trhdr+Tr 2
![Derivation of Formula for Volume of the Sphere by Integration - Video & Lesson Transcript | Study.com Derivation of Formula for Volume of the Sphere by Integration - Video & Lesson Transcript | Study.com](https://study.com/cimages/multimages/16/edervol10.png)
Derivation of Formula for Volume of the Sphere by Integration - Video & Lesson Transcript | Study.com
![Derivative of the Volume of a Sphere | Volume of a Sphere Integra & Formula - Video & Lesson Transcript | Study.com Derivative of the Volume of a Sphere | Volume of a Sphere Integra & Formula - Video & Lesson Transcript | Study.com](https://study.com/cimages/multimages/16/hemivol1284094673332872279.png)
Derivative of the Volume of a Sphere | Volume of a Sphere Integra & Formula - Video & Lesson Transcript | Study.com
![For a sphere, why is the derivative of the volume the equation for the surface area? | Continuous Everywhere but Differentiable Nowhere For a sphere, why is the derivative of the volume the equation for the surface area? | Continuous Everywhere but Differentiable Nowhere](https://samjshah.files.wordpress.com/2018/04/sphere.png?w=620)