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