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**1. Homework Statement**

Sorry, this may sound dumb, but How do I use differentials to estimate the amount of tin in a closed tin can with diameter 8 cm and height 12 cm if the tin is 0.04 cm thick?

**2. Homework Equations**

The volume of the can is V = pi*r^2h. So dV= 2*pi*rh*dr

**3. The Attempt at a Solution**

Could someone point out what I am doing wrong? I thought that since volume is pi*r^2h, and so dv = 2*pi*rhdr. So, wouldn't I just plug in 2*pi*4*12*0.04 to arrive at an estimate of the amount of the tin? Thanks so much!!