1.

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.

Answer» 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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