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## Homework Statement

#19

## Homework Equations

Implicit Differentiation## The Attempt at a Solution

I have a diagram and I am using the info given to establish some relationships. I guess my main concern is whether I have established a correct relationship between r and y as to eliminate one of them. If I have, am having trouble differentiating the following

V=(pi/3)y^2(3r-y) which after substitution looks like

V=(pi/3)y^2(3sqrt(26y-y^2)-y)

Does this look like I am on the right track to find both dy/dt and dr/dt at y=8...or am I just making things difficult?

Casey