science
posted by navneet .
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

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
Respond to this Question
Similar Questions

Physics
A solid uniform sphere has a mass of 2.0 104 kg and a radius of 1.5 m. What is the magnitude of the gravitational force due to the sphere on a particle of mass m = 0.2 kg located at a distance of 1.6 m from the center of the sphere? 
physics
Two solid spheres A and B are made from the same material. The mass of sphere B is eight times that of sphere A. If the radius of sphere A is 7.50 cm, what is the radius of sphere B? 
college physics
Two solid spheres A and B are made from the same material. The mass of sphere B is eight times that of sphere A. If the radius of sphere A is 7.50 cm, what is the radius of sphere B? 
college physics
Two solid spheres A and B are made from the same material. The mass of sphere B is eight times that of sphere A. If the radius of sphere A is 7.50 cm, what is the radius of sphere B? 
physics
A solid uniform sphere has a mass of 7.0 104 kg and a radius of 1.2 m. (a) What is the magnitude of the gravitational force due to the sphere on a particle of mass m = 0.7 kg located at a distance of 2.1 m from the center of the sphere? 
Physics
A hollow sphere of radius 25 cm is rotating at 13 rad/ sec about an axis that passes through its center. The mass of the sphere is 3.8 kg. assuming a constant net torque is applied to the sphere, how much work is required to bring … 
physics
A solid sphere of mass m and radius r rolls with out slipping along the track.it starts from rest with the lowest point of tthe sphere at aheight h above the bottom of the loop of radius R,much larger than r.(a) what is the minimum … 
Physics
A uniform solid sphere rolls along a horizontal frictionless surface at 35 m/s and makes a smooth transition onto a frictionless incline having an angle of 300. How far up the incline does the sphere roll when it comes to a momentary … 
Physics
A uniform solid sphere rolls along a horizontal frictionless surface at 35 m/s and makes a smooth transition onto a frictionless incline having an angle of 300. How far up the incline does the sphere roll when it comes to a momentary … 
Calculus
Imagine slicing through a sphere with a plane (sheet of paper). the smaller piece produced is called a radius of the sphere. Its volume is V=(pi)h^2(3rh)/3, where r is the radius of the sphere and h is the thickness of the cap. find …