Physics - Error Question with Solution | TestHub

Relative error in Surface area, $\frac{\Delta \mathrm{s}}{\mathrm{s}}=2\times \frac{\Delta \mathrm{r}}{\mathrm{r}}=\alpha$ and relative error in volume, $\frac{\Delta \mathrm{v}}{\mathrm{v}}=3\times \frac{\Delta \mathrm{r}}{\mathrm{r}}$ $\therefore$ Relative error in volume w.r.t. relative error in area, $$\frac{\Delta \mathrm{v}}{\mathrm{v}}=\frac{3}{2}\alpha$$