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

Options

A. `v= 0.018 pi cm^3`
B. `v= 0.18 pi cm^3`
C. `v= 0.0018 pi cm^3`
D. None of these

Answer

A

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`

`/_ y = (dy/dx) /_ x`

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