# Math

posted by .

A hi-tech bowling ball is constructed from concentric spheres, kind of like a perfectly round M&M peanut. The inner sphere, of material X, has a radius of 1 inch. The middle spherical shell of material Y has a thickness of 2 inches. The outer shell of material Z has a thickness of 1 inch. A ball of the same size made of 100% X,Y, or Z weighs 16, 14, and 12 lbs respectively. What is the weight of this hi-tech ball to the nearest tenth?

• Math -

The volume of a sphere is
(4π/3)r³

The shell thicknesses are:
X=1", Y=2", Z=1"

The proportions of volumes X, Y and Z are:
X:Y:Z
=(1³-0³):(3³-1³):(4³-3³)
=1:8:55

Therefore weight of ball
=(1*16+8*14+55*12)/(1+8+55)
=788/64
=197/16
=12 5/16 pounds (12 lb 5 oz)

## Similar Questions

1. ### 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?
2. ### 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?
3. ### Physics Conducting Spheres

1. Two concentric conducting spherical shells have radii of 0.145 m. and 0.215 m. The inner sphere bears a charge of -3.00E-08 C. An electron escapes from the inner sphere with negligible speed. Assuming that the region between the …
4. ### Physics

There are two conducting concentric hollow spheres of outer radii R2 and R1 (R2>R1). The thickness of the material of both spheres is d. The inner sphere is negatively charged with charge density −σ1. The larger sphere …
5. ### Physics

There are two conducting concentric hollow spheres of outer radii and ( ). The thickness of the material of both spheres is . The inner sphere is negatively charged with charge density . The larger sphere is positively charged with …
6. ### Physics

A capacitor consists of two concentric spherical shells. The outer radius of the inner shell is a=0.43 mm and the inner radius of the outer shell is b=2.2 mm . (a) What is the capacitance C of this capacitor?
7. ### physics

A spherical shell is formed by taking a solid sphere of radius 20.0 cm and hollowing out a spherical section from the shell's interior. Assume the hollow section and the sphere itself have the same center location. a) If the hollow …
8. ### Phyisics

1. Two concentric conducting spherical shells have radii of 0.126 m. and 0.225 m. The inner sphere bears a charge of -8.00E-08 C. An electron escapes from the inner sphere with negligible speed. Assuming that the region between the …
9. ### science

Two concentric conducting spherical shell have raddii R1=0.145m and R2 =0.207m. The inner sphere with negligible speed. Assuming that the region between the sphere is a vacuum, compute the speed with which the electron strikes the …
10. ### material science

A syntactic foam is made by mixing thin-walled hollow glass spheres (radius, r, and wall thickness, t=0.05r) into an epoxy resin, which is then cured and hardened. The glass from which the spheres are made is twice as dense as the …

More Similar Questions