SOLUTION: The Volume of a Cylinder is given by the formula {V=pir^2h} where V is volume, r is the radius and h is the height. If we think of h as the independent variable and r as a const

Algebra ->  Test -> SOLUTION: The Volume of a Cylinder is given by the formula {V=pir^2h} where V is volume, r is the radius and h is the height. If we think of h as the independent variable and r as a const      Log On


   



Question 1000058: The Volume of a Cylinder is given by the formula {V=pir^2h} where V is volume, r is the radius and h is the height.
If we think of h as the independent variable and r as a constant, find a formula for the instantaneous rate of change of the volume with respect to the height.

Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Asks for derivative, dV%2Fdh.

V=pi*(r^2)*h the formula for V in pure text.

V=h%2Api%2Ar%5E2
highlight%28dV%2Fdh=pi%2Ar%5E2%29

Why? The independent variable now is h, and pi%2Ar%5E2 is the constant factor.