physics
a metal cylinder is heated and then cools. if the radius always equals the height, find the expression for the instantaneous rate of change of volum V with respect to the radius r.
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The expression for the instantaneous rate of change of volume with respect to the radius is dV/dr = 2πr2h, where r is the radius and h is the height. This expression arises from the formula for the volume of a cylinder, which is V = πr2h. Differentiating this expression with respect to r yields the expression for the rate of change of volume with respect to the radius.
