Comparing Surface Areas of Two Water Balloons Using a Formula

Click For Summary

Homework Help Overview

The discussion revolves around comparing the surface areas of two water balloons using a specific formula related to volume. The original poster presents a scenario where one balloon contains twice the volume of the other, prompting an exploration of how this affects surface area.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • The original poster expresses uncertainty about how to begin the problem and questions the source of the provided answer. One participant suggests defining the volumes of the balloons and substituting them into the formula to compare the resulting expressions.

Discussion Status

The discussion has progressed with one participant successfully applying the suggested approach and confirming a result that aligns with the original poster's reference. However, there is no explicit consensus on the methodology or the reasoning behind the formula.

Contextual Notes

The original poster notes a lack of equations provided in the homework statement, which may affect the clarity of the discussion. The reliance on a specific formula without further context raises questions about its derivation and applicability.

darshanpatel
Messages
139
Reaction score
0

Homework Statement



The question wants me to use this formula: ((4pi)^(1/3))((3v)^(2/3))

You have filled two round water balloons with water. One balloon contains twice as much water as the other balloon.

Compare the surface areas of the two water balloons using the given formula.

Homework Equations



None

The Attempt at a Solution



I don't know where to start
And I Don't Know where they got the answer from.

The book gave me a final answer as: The balloon with twice as much water will have about 1.59 times the surface area of the balloon with less water.
 
Physics news on Phys.org
Say the volume of the other balloon is x. The volume of the first balloon is twice the volume of the other balloon, so that's 2x. Plug in x into the formula above and simplify. Then do the same for 2x. Compare the two expressions.
 
ok, will try and let you know
 
Yes, it worked, I got about 1.59, thank you
 

Similar threads

Undergrad How Does the Balloon Analogy Explain the Expansion of the Universe?
  • · Replies 5 ·
Replies
5
Views
2K
My balloon technology (the LDH honeycomb)
  • · Replies 6 ·
Replies
6
Views
3K
Undergrad Air-powered water balloon launcher, Which weights to use?
  • · Replies 1 ·
Replies
1
Views
2K
Formula for Total Surface Area
  • · Replies 18 ·
Replies
18
Views
4K
Finding Depth of Water Loss Using Surface Area
  • · Replies 9 ·
Replies
9
Views
2K
Area of Triangle: Find the Unknown Formula
  • · Replies 9 ·
Replies
9
Views
2K
Problem Set Involving Inertia and Balloons
  • · Replies 2 ·
Replies
2
Views
3K
Graduate Surface Tension - Using hot soapy water to wash clothes
  • · Replies 1 ·
Replies
1
Views
2K
Surface area of a cylinder- finding unknown variable
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Why volume is conserved but not the surface area?
  • · Replies 33 ·
2
Replies
33
Views
3K