A hollow spherical shell is made of a metal of density 4.5 g per $c m^{3}$ .If its internal and external radii are 8 cm and 9 cm respectively, find the weight of the shell.

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Solution

Solution:

Internal radius (r) = 8 cm

External radius (R) = 9 cm

Density of metal = 4.5 g per $c m^{3}$

∴ weight of the shell = $\frac{4}{3}$ $π$ $R^{3} - r^{3}$ $\times$ density

= $\frac{4}{3}$ $π$ $729 - 512$ $\times$ 4.5 /1000 kg.

= $\frac{4}{3}$ $π$ $217$ $\times$ 4.5/1000 kg.

∴ weight of the shell = 4.092 kg.

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A hollow spherical shell is made of a metal of density 4.5 g per cm3.If its internal and external radii are 8 cm and 9 cm respectively, find the weight of the shell.

Solution: Internal radius (r) = 8 cm External radius (R) = 9 cm Density of metal = 4.5 g per cm3 ∴ weight of the shell = 43πR3−r3 × density =43π729–512 ×4.5 /1000 kg. = 43π217 ×4.5/1000 kg. ∴ weight of the shell = 4.092 kg.

A hollow spherical shell is made of a metal of density 4.5 g per $c m^{3}$ .If its internal and external radii are 8 cm and 9 cm respectively, find the weight of the shell.