make r subject of the formular v=πl(R*2-r*2)
v=πl(R*2-r*2)
v/(πl) = R^2-r^2
...
To make "r" the subject of the formula v = πl(R^2 - r^2), we need to isolate the variable "r" on one side of the equation. Here's how you can do it step by step:
1. Start with the given formula:
v = πl(R^2 - r^2)
2. Expand the brackets to simplify the equation:
v = πlR^2 - πlr^2
3. Move the term πlR^2 to the other side of the equation:
v - πlR^2 = -πlr^2
4. Divide both sides of the equation by -πl to isolate the term with "r^2" on the right side:
(v - πlR^2) / (-πl) = r^2
5. Take the square root of both sides to solve for "r":
√[(v - πlR^2) / (-πl)] = r
Now "r" is the subject of the formula, and the expression on the right-hand side (√[(v - πlR^2) / (-πl)]) gives you the value of "r" in terms of the other variables.