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.

= ( $\frac{4}{3}$ $π$ $\times$ (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 = 43π(R3−r3) × density =(43π(729–512) ×4.5)/1000 kg. = (43π×(217)×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.