SOLUTION: Solve V=4/3wr^3

Algebra ->  Equations -> SOLUTION: Solve V=4/3wr^3      Log On


   

Question 1022382: Solve V=4/3wr^3
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
Solve for what?
.
For r:
V=%284%2F3%29wr%5E3 . Multiply each side by 3/4 (reciprocal of 4/3 to equal 1)
%283%2F4%29V=wr%5E3 . Divide each side by w. (w/w on right side will equal 1)
3V%2F4w=r%5E3 . Find the cube root of each side.
root%283%2C%283V%29%2F%284w%29%29=r
.
For w:
V=%284%2F3%29wr%5E3 . Multiply each side by 3/4 (reciprocal of 4/3 to equal 1)
%283%2F4%29V=wr%5E3 . Divide each side by r^3.
%283v%29%2F%284r%5E3%29=w
.