Posted by **Riley** on Wednesday, April 22, 2009 at 10:28am.

V(h) = pie/3(R^2h-h^3)

take the derivative with respect to h.

using the chain rule I got:

V'(h) = pie/3(2Rh+R^2-3h^2)

but this is not the correct answer. what did I do wrong?

- calculus -
**drwls**, Wednesday, April 22, 2009 at 10:37am
I would prefer to write the V equation as

V(h) = (pi/3)(R^2*h-h^3)

to emphasize that the (R^2h-h^3)

term is not in the denominator.

Unless R is a function of h, you do not have to use the chain rule. You have said nothing that implies that R is a function of h. R and h are independent variables. İV/İh is really a partial derivative.

Consider R as a constant when differentiating with respect to h.

V'(h) = (pi/3)R^2 - pi*h^2

- calculus -
**drwls**, Wednesday, April 22, 2009 at 10:39am
Ignore İV/İh

Jiskha would not allow me to type the rounded-d symbol for d in the partial derivative.

- calculus -
**Riley**, Wednesday, April 22, 2009 at 10:44am
thanks!

## Answer this Question

## Related Questions

- physics - The motion of a particle is described by x = 10 sin (piet +pie/2 ). At...
- calculus - find the volume of the solid formed by revolving the region bounded ...
- Calculus (Help) - Also I would like to know how to set this problem up in ...
- Calculus - If water is poured into a cup at a rate of 1 cubic centimeter per ...
- Calculus grade 12 - solve for (<_ = less than or equal to / pie = pie sign...
- Calculus - Determine derivative of each function A) y = 3xSinx B) f(t) = 2t^...
- Math Geo help Ms Sue? - I have two questions about two circles. A.First circle ...
- Calculus - I finished this problem but I wanted some feedback because I don't ...
- Calculus - Find the derivative of y with respect to x: y=(1+cos²x)^6 y'=6(1+cos²...
- math - evaluate the expressions below and leave them in radical form. 1. sin(pie...