Comparing Surface Areas of Two Water Balloons Using a Formula

[darshanpatel]

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.

 

[eumyang]

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.

 

[darshanpatel]

ok, will try and let you know

 

[darshanpatel]

Yes, it worked, I got about 1.59, thank you