Question

What mass of a material with density r is required to make a hollow spherical shell having inner radius r1 and outer radius r2?

Answer 1

Answer:

The volume of a spherical shell can be calculated from

V=V

o

−V

i

=

3

4

π(r

2

3

−r

1

3

)

From the definition of density, ρ=

V

m

so,

m=ρV=ρ(

3

4

π)(r

1

3

−r

1

3

)=

3

4πρ(r

2

3

−r

1

3

)