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Related Rate Problems
Volume and Derivative of Volume Formulas
7
Mathematics
Undergraduate 1
08/29/2006
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Term
Volume of a Sphere
 Definition
V = 4/3 pi r^3
Term
Area of a Sphere
 Definition
A = 4 pi r^2
Term
Derivative of Volume of a Sphere
 Definition
V' = 4 pi r^2(dr/dt)
Term
Derivative of Area of a Sphere
 Definition
A' = 8 pi r(dr/dt)
Term
Volume of a Cone
 Definition
V = 1/3 pi r^2 h
Term
Area of a Cone
 Definition
A = pi r ã(r^2 + h^2)
Term
Volume of a Cylinder
 Definition
V = pi r^2 h
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