SOLUTION: Solve for r. V=4/3 3.14(pie)r^2h.

Algebra ->  Expressions-with-variables -> SOLUTION: Solve for r. V=4/3 3.14(pie)r^2h.      Log On


   

Question 80550: Solve for r.
V=4/3 3.14(pie)r^2h.
Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
V=%28%284%2F3%29%28pi%29r%5E2h%29 [isolate the r-term]
%28V%2F%28pi%29h%29=%28%28%284%2F3%29%28pi%29r%5E2h%29%29%2F%28pi%29h%29
%28V%2F%28pi%29h%29=%28%284%2F3%29r%5E2%29
%283%2F4%29%28V%2F%28pi%29h%29=%28%283%2F4%29%284%2F3%29r%5E2%29
%283V%2F4%28pi%29h%29=%28r%5E2%29[take the square root of both sides]
%28sqrt%283V%2F4%28pi%29h%29%29=%28sqrt%28r%5E2%29%29
%28sqrt%283V%29%2F2sqrt%28%28pi%29h%29%29=r
.
check by plugging %28sqrt%283V%29%2F2sqrt%28%28pi%29h%29%29=r back into the original equation (substitute it for the r-term) and solve.