Question

The radius of a sphere is measured to be $(2.1\pm 0.5)cm$. Calculate its surface area with error limits.

Answer 1

We know Sufrace Area of sphere $\left(S\right)=4\pi r^2=4\times \frac{22}{7}(2.1{)}^2=55.44c{m}^2$

And $\Delta S=8\pi r\Delta r=8\times \frac{22}{7}\times 2.1\times 0.5=26.4c{m}^2$

Therefore, The Ans is $55.44\pm 26.4c{m}^2$