Differentiating volume of a cylinder

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Homework Help Overview

The discussion revolves around differentiating the volume of a cylinder with respect to height, specifically focusing on the expression for volume given by v = πr²h. Participants are exploring the correct differentiation process and the implications of treating certain variables as constants.

Discussion Character

  • Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to differentiate the volume formula but questions the treatment of the variable "h" and the constant "r". Some participants suggest clarifying the differentiation process and whether the product rule is applicable.

Discussion Status

The discussion is ongoing, with participants providing hints and questioning each other's interpretations of differentiation. There is a focus on ensuring that the variable "h" remains in the equation, and some guidance has been offered regarding the treatment of constants.

Contextual Notes

Participants are navigating the constraints of the problem, including the need to differentiate while considering the roles of constants and variables in the equation.

rachael
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1. differentiate the volume of a cylinder with v respect to h

my working out:
v= πr^2h
dV\dh= 2πr

n da answer is not right
how do i make da "h" remains in da equation?
could some one please help me?
thank you
 
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Hint:Note that r is a constant
 
i am not sure what you mean though

do u mean that dV\dh= πh? instead of 2πr
 
What you've done is differentiate with respect to h and then with respect to r (or r then h) to get at [tex]2\pi r[/tex].

You can leave the r alone and just diff. w.r.t. h
 
If "A" is a constant and v(h)= Ah, what is dv/dh?

If [itex]v(h)= \pi r^2h[/itex], what is the constant "A"?
 
do i apply the product rule to find dv/dh?
 
No,
Read Hallsofivy's post carefully.
 

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