Find the approximate volume of metal in a hollow spherical shell whose internal and external radii are 3 cm and 3.0005 cm, respectively.

Explanation

`r= 3cm`

`R= 3.0005 cm`

`R= r + /_
`

`V= 4/3 pi R^3 - 4/3 pi r^3`

`y = f(x) = 4/3 pi x^3`

`/_ y = f(x + /_ x) - f(x) `

now,`r= 3cm , /_ r = 0.0005 cm`

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