Posted by **navneet** on Monday, September 24, 2012 at 11:46pm.

A sphere of radius 4 cm iss carved from a homogenous sphere of radius 8cm and mass 160g. the mass of the smaller sphere is

- maths -
**karuppaiah**, Tuesday, February 12, 2013 at 8:01am
Since the material is same, the density is also same. The formula for mass of the sphere m =Volume x density

=4/3 (pi) (r)^3 x density

m1= 160g, r1=8cm.

r2=4cm, m2=?

160=4/3 (pi) (8)^3x density-----(1)

m2=4/3 (pi) (4)^3x density-----(2)

now equation (2)/(1)

m2/160= (4)^3/(8)^3

m2=(4/8)^3 x 160

=160/8

=20 gm

simple formula is

m2=(r2/r1)^3 x m1

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