If the percentage error in the radius of a sphere is `alpha` , find the percentage error in its volume.

Explanation

Let `V` be the volume of the sphere.


`V=frac{4}{3} pi x^{3}`


We have


`frac{Delta x}{x} times 100=alpha `

`Rightarrow frac{d V}{d x}=4 pi x^{2} `

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