1.

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

Answer» `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`
`= 4/3 pi (3x^2) xx 0.0005`
`x=r`
`= 4/3 pi (3^3) xx 0.0005`
`= 0.018 pi `
`v= 0.018 pi cm^3`
Answer


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