1. The problem statement, all variables and given/known data The circumference of a sphere was measured to be 90 cm with a possible error of 0.5 cm. Use differentials to estimate the maximum error in the calculated volume. 2. Relevant equations Volume of sphere: V=4/3πR3 Circumference of Sphere: C=2πR ΔC = 0.5 cm 3. The attempt at a solution Stating R in terms of C: R=C/2π Inserting this new term into the volume equation: V=4/3π(C/2π)3 Now, before taking the derivative of both sides, I went ahead and expanded the right side: V=C3/6π2 Then, the derivative of both sides: dV/dC = C3/2π2(dC) Now, is dC = ΔC? I'm not quite sure what to do next.