I don't understand this problem -- Surface area of a section of a solid sphere

Click For Summary

Homework Help Overview

The discussion revolves around a problem related to calculating the surface area of a section of a solid sphere that has been cut. Participants are trying to clarify the requirements of the problem and the relevant formulas involved.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to understand what specific surface area is being requested, including whether it pertains to the surface of the sphere alone or includes additional areas from the cut. There are questions about visualizing the three-dimensional aspect of the problem and determining the fraction of the sphere represented.

Discussion Status

There is an ongoing exploration of the problem's requirements, with some participants providing guidance on the need to consider additional surfaces created by the cut. Multiple interpretations of the problem are being discussed, particularly regarding the total surface area needed for the solution.

Contextual Notes

Some participants express challenges with language comprehension, which may affect their ability to convey their understanding of the problem. There is also a mention of a visual aid being rendered to assist in understanding the problem setup.

samy4408
Messages
62
Reaction score
9
Homework Statement
...
Relevant Equations
...
Sorry i don't understand English very well , if someone want to explain to me this problem?
2022-03-04 18_34_35-Window.png
 
Physics news on Phys.org
What part is giving you difficulty?
Try your best to explain what you think it's asking for. We'll see of we can set you straight.
 
samy4408 said:
Homework Statement:: ...
Relevant Equations:: ...

Sorry i don't understand English very well , if someone want to explain to me this problem?
View attachment 297876
Ordinarily I would delete a post like this, as there is no work shown, but today is your lucky day.
Do you know a formula for the surface area of a sphere whose radius is given?
Can you determine what fraction of a sphere is shown in the picture?
 
The problem is asking you to calculate the surface of a sphere that has been cut as shown.
Can you see it tridimensional in your head?
 
Mark44 said:
Ordinarily I would delete a post like this, as there is no work shown, but today is your lucky day.
Do you know a formula for the surface area of a sphere whose radius is given?
Can you determine what fraction of a sphere is shown in the picture?
I do know the formula for the surface area of a sphere , the problem is what they are asking for ,
is it the surface of the sphere that is shown ? is it 1/8 of the total surface of the sphere ?
 
samy4408 said:
is it 1/8 of the total surface of the sphere ?
yes
 
phinds said:
yes
No. You also have to add on the new faces from the cut.
 
  • Like
Likes   Reactions: DaveC426913 and PeroK
phinds said:
yes
So it is 2*pi
 
caz said:
No. You have to add on the new faces from the cut.
Ah. You are right of course. I missed that they want ALL of the surface area. Still a trivial problem.
 
  • #10
samy4408 said:
So it is 2*pi
That's just the surface area of the part of the sphere. The problem is asking for the area of the partial sphere surface, plus the three other sides.
 
  • #11
caz said:
No. You also have to add on the new faces from the cut.
It says a "solid sphere", so this is correct, IMO. If it was just a spherical surface that was cut, it would be different.
 
  • #12
Well boo. You guys moved on while I was busy rendering a visual aid.

1646420491341.png
 
  • Like
Likes   Reactions: jim mcnamara, Frabjous and PeroK

Similar threads

  • · Replies 18 ·
Replies
18
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 33 ·
2
Replies
33
Views
7K
  • · Replies 6 ·
Replies
6
Views
1K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 12 ·
Replies
12
Views
2K
  • · Replies 1 ·
Replies
1
Views
10K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 3 ·
Replies
3
Views
5K
Replies
6
Views
3K