1. Mar 7, 2010

JOhnJDC

1. The problem statement, all variables and given/known data

This is from my book.

3. The attempt at a solution

[(v)(22/3)(pi2/3)]/v2/3pi = 22/3(v/pi)1/3

What am I doing wrong? Thanks.

EDIT: I made a mistake in copying over my attempt; fixed now.

Last edited: Mar 7, 2010
2. Mar 7, 2010

JOhnJDC

I'm beginning to think that my book is wrong and that my attempt is correct. Can anyone confirm?

3. Mar 8, 2010

Mentallic

You are both correct

4. Mar 8, 2010

JOhnJDC

I don't see how 22/3(v/pi)1/3 = 2(v/2pi)1/3 Can you explain?

Last edited: Mar 8, 2010
5. Mar 8, 2010

Mentallic

$$2^{2/3}=2^{1-1/3}$$

does it seem obvious now?

6. Mar 8, 2010

JOhnJDC

Yes--I see it now. Thanks, Mentallic.