A sphere has a radius of 5 m. How many 5cm diameter spheres can it contain?

  • Thread starter Thread starter Power of One
  • Start date Start date
  • Tags Tags
    Volume
AI Thread Summary
To determine how many 5 cm diameter spheres can fit inside a sphere with a radius of 5 m, the volumes of both spheres are calculated using the formula for the volume of a sphere. The large sphere's radius is converted from meters to centimeters, resulting in a volume calculation of 4/3π (500)^3. The volume of a single small sphere is calculated as 4/3π (2.5)^3, leading to an initial estimate of 8,000,000 small spheres. However, this estimate is unrealistic due to the packing efficiency of spheres, which must be considered for an accurate calculation. Understanding the concept of close-packing is essential for resolving this discrepancy.
Power of One
Messages
23
Reaction score
0

Homework Statement


A sphere has a radius of 5 m. How many 5cm diameter spheres can it contain?


Homework Equations


Volume of a sphere= 4/3π r^3


The Attempt at a Solution


5m=500 cm

volume of large sphere/ volume of small sphere
4/3π (500)^3/ 4/3π (2.5)^3

=8,000,000 spheres

This answer doesn't seem reasonable. What am I doing wrong?​
 
Physics news on Phys.org

Thread 'Rolling without slipping on a curved surface'

Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
View full post »
Thread 'Voltmeter readings for this circuit with switches'

Thread 'Voltmeter readings for this circuit with switches'

TL;DR Summary: I would like to know the voltmeter readings on the two resistors separately in the picture in the following cases , When one of the keys is closed When both of them are opened (Knowing that the battery has negligible internal resistance) My thoughts for the first case , one of them must be 12 volt while the other is 0 The second case we'll I think both voltmeter readings should be 12 volt since they are both parallel to the battery and they involve the key within what the...
View full post »

Similar threads

Kinetic and potential energy of a particle attracted by charged sphere
Replies
6
Views
2K
Depth of a basketball floating on water
Replies
9
Views
916
Cell and membrane volume physics
Replies
1
Views
2K
Find charge inner/hollow sphere
Replies
2
Views
2K
Calculating angular momentum of a sphere
Replies
2
Views
5K
Density: Cube of Aluminum to Copper Sphere
Replies
3
Views
5K
Electric Field of a Charged Sphere?
Replies
1
Views
2K
Hollow sphere half submerged in a liquid, find density
Replies
13
Views
8K
A small solid sphere of mass M0, of radius R0, and of unifor
Replies
3
Views
3K
Depth to which the sphere is submerged
2
Replies
55
Views
8K

Hot Threads

Recent Insights

Back
Top