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A hollow metallic sphere has inner and o...

A hollow metallic sphere has inner and outer radii, respectively as 5 cm and 10 cm if the mass of the sphere is 2.5 kg, find (a) density of the material, (b) relative density of the material of the sphere.

Text Solution

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The volume of the material of the sphere is
`V=((4)/(3))pi(r_(2)^(3)-r_(1)^(3))=(4)/(3)xx3.14xx[((10)/(100))^(3)-((5)/(100))^(3)]=(4)/(3)xx3.14xx[0.001-0.000125]`
`=(4)/(3)xx3.14xx0.000875m^(3)=0.00367m^(3)`
(a) therefore density of material of the sphere is `rho=(M)/(V)=(2.5)/(0.00367)kg//m^(3)=682kg//m^(3)`
(b). Relative density of the material of the sphere `rho=(681.2)/(1000)=0.6812`
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