SOLUTION: Hi there, I don't get this problem with rational expressions! Could someone please help me work out this problem before class? v=4/3(pi symbol here) r^2h for h Thank you AC

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Travel -> SOLUTION: Hi there, I don't get this problem with rational expressions! Could someone please help me work out this problem before class? v=4/3(pi symbol here) r^2h for h Thank you AC      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 17655: Hi there,
I don't get this problem with rational expressions! Could someone please help me work out this problem before class?
v=4/3(pi symbol here) r^2h for h
Thank you
AC
Answer by rapaljer(4551) About Me  (Show Source):
You can put this solution on YOUR website!
V=%284%2F3%29%2Api%2Ar%5E2%2Ah

Multiply both sides of the equation by the denominator, which is 3, to eliminate the denominator in the equation:
3%2AV=+3%2A%284%2F3%29%2Api%2Ar%5E2%2Ah
3V+=+4%2Api%2Ar%5E2%2Ah

Now to solve for h, you need to "undo" everything that has been done to the h. That is, you multiplied by all those other factors: 4%2Api%2Ar%5E2. So you need to DIVIDE by those factors in order to undo the multiplications:
%283V%29%2F%284%2Api%2Ar%5E2%29+=+%284%2Api%2Ar%5E2%2Ah%29%2F%284%2Api%2Ar%5E2%29
%283V%29%2F%284%2Api%2Ar%5E2%29+=+h

R^2 at SCC