A certain cell has the shape of a sphere. The formulas S=4pie r^2 and V= (4/3) pie r^3 are used to compute the surface area and volume of the cell, respectively. Estimate the effect on S and V produced by 1% increase in the radius r.

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Just replace r with (1.01r) in the formulas.

If \[s_1=4\pi{r^2}\]then \[{s_2}=4\pi{(1.01r)}^2=4\pi(1.0201)r^2=1.0201.{4\pi}r^2=1.0201s_1\]

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