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**Implicit Differentiation of Cylinder NOT given radius????**

**1. Homework Statement**

Question: Digging in his backyard, Dennis accidentally breaks a pipe attached to his water sprinkling system. water bubbles up at a rate of 1 cm^3/s, forming a circular pond of depth 0.5cm in his yard. How quickly is the surface area of the pond covering his lawn?

Given: dV/dT= 1

depth= 0.5cm

RTF: dSA/Dt

**2. Homework Equations**

V= pi&r^2&h

SA= 2pi&r&h + 2pi&r^2

**3. The Attempt at a Solution**

i attempted alot of things...i just always end up with the same problem: i dont know what r is or i cant find a way to relate r to anything.

**1. Homework Statement**

**2. Homework Equations**

**3. The Attempt at a Solution**