v=1/3*3.14r^2h for r
To isolate the variable "r" in the equation v = (1/3) * 3.14 * r^2 * h, we can follow these steps:
1. Multiply both sides of the equation by 3 to get rid of the fraction:
3v = 3 * (1/3) * 3.14 * r^2 * h
Simplifying the expression:
3v = 3.14 * r^2 * h
2. Divide both sides of the equation by (3.14 * h) to isolate r:
(3v) / (3.14 * h) = (3.14 * r^2 * h) / (3.14 * h)
Simplifying the expression:
r^2 = (3v) / (3.14 * h)
3. Take the square root of both sides to solve for r:
√(r^2) = √((3v) / (3.14 * h))
Simplifying the expression:
r = √((3v) / (3.14 * h))
Therefore, to find the value of r, you can substitute the values of v and h into the equation r = √((3v) / (3.14 * h)).
V = (1/3)π r^2 , solve for r
3V/π = r^2
r = ±√(3V/r)