Make R the subject of the

Question

formula from the equation V =
πL(R2
) – (R – t)2

Answer 1

To make R the subject, we need to isolate it on one side of the equation.

Step 1: Distribute πL to the terms inside the parentheses.

V = πL(R^2) - (R - t)^2
V = πL(R^2) - (R^2 - 2Rt + t^2)

Step 2: Combine like terms.

V = πL(R^2 - R^2 + 2Rt - t^2)
V = πL(2Rt - t^2)

Step 3: Divide both sides of the equation by πL.

V/(πL) = 2Rt - t^2

Step 4: Add t^2 to both sides.

V/(πL) + t^2 = 2Rt

Step 5: Divide both sides of the equation by 2t.

(V/(πL) + t^2)/(2t) = R

Therefore, R is the subject of the formula:

R = (V/(πL) + t^2)/(2t)