Math
posted by Patrice .
??Jack has two spheres one has radius of 12 and the other has a diameter of 12. What is the difference between two spheres?

Diameter=2*Radius
Radius=Diameter/2
Radius of first sphere R1=12
Radius of second sphere R2=D2/2=12/2=6
R1/R2=12/6=2
R1/R2=2
Area of sphere=4*pi*R^2
Area of first sphere A1=4*pi*12^2=
4*pi*(2*6)^2=4*pi*4*6^2
Area of second sphere A2=4*pi*6^2
A1/A2=(4*pi*4*6^2)/(4*pi*6^2)=4
A1/A2=4
Volume of a sphere:
V=(4/3)*pi*R^3
Volume of first sphere:
(4/3)*pi*12^3=
(4/3)*pi*(2*6)^3=(4/3)*pi*8*6^3
Volume of second sphere:
(4/3)*pi*6^3
V1/V2=[(4/3)*pi*8*6^3]/[(4/3)*pi*6^3]=8
V1/V2=8
V2/V1=8
First sphere have 2x larger Radius, 4x larger Area and 8x larger Volume 
V1/V2=8

Delete: V2/V1=8
Respond to this Question
Similar Questions

College Physics
Two iron spheres contain excess charge, one positive and the other negative. a) Show how the charges are arranged on these spheres if they are very far from each other. b) if the spheres are now brought close to each other, but do … 
physics
1)Two metal spheres are suspended from insulation threads. A negatively charged rod is brought near these spheres. One shere is pushed away from the rod and the other atracted towards it. Describe the behavior of the spheres. I know … 
physics
Two spheres are placed so that their centers are 2.6 meters apart. The force between the two spheres is 2.75x10^12N What is the mass of each sphere if one sphere is twice the mass of the other sphere? 
Physics
1. The electrostatic force of attraction between two small spheres that are 1.0 meter apart is F. If the distance between the spheres is decreased to 0.5 meter, the electrostatic force will be a) F/2 b) 2f c) F/4 d) 4F I know when … 
Physics
Two metal spheres are separated by a distance of 1.1 cm and a power supply maintains a constant potential difference of 710 V between them. The spheres are brought closer to each other until a spark flies between them. If the dielectric … 
physics
Two small, identical metal spheres contain excess charges of 10.0 x 10^6 C and 6.0 x 10^6 C, respectively. The spheres are mounted on insulated stands and placed 0.40 m apart. Determine the magnitude and direction of the force between … 
Physics
Two spheres are placed at a distance of 10 m from each other. The force of gravity between them is 6.673x10 to the (9)N. If one of the spheres is 4 times as massive as the other what are their masses in Kg? 
Physics
Two small aluminum spheres, each having mass 2.65×10−2 , are separated by 85.0 . How many electrons would have to be removed from one sphere and added to the other to cause an attractive force between the spheres of magnitude … 
physics
A solid lead sphere of radius 10 m (about 66 ft across!) has a mass of about 57 million kg. If two of these spheres are floating in deep space with their centers 20 m apart, the gravitational attraction between the spheres is only … 
Math
The radii of two spheres are 4ft and 8ft find the volume of a spheres whose surface area is equal to the sum of the surface areas of these two spheres.