How to Rearrange a Formula

The video tutorial explains how to rearrange the volume formula of a cylinder to solve for different variables. It covers two main parts: solving for the height (H) and solving for the radius (R). The instructor demonstrates the steps to isolate each variable, using inverse operations like division and square roots. The tutorial concludes with a summary of the rearranged formulas and encourages viewers to continue learning math.

What is the initial step in rearranging the formula to solve for the height (H) of a cylinder?

• Add πR² to both sides

• Divide both sides by πR²

• Subtract πR² from both sides

• Multiply both sides by πR²

After isolating H in the volume formula, what does H equal?

• Volume multiplied by πR²

• Volume divided by πR²

• Volume plus πR²

• Volume minus πR²

What is the first step in rearranging the formula to solve for the radius (R) of a cylinder?

• Subtract πH from both sides

• Add πH to both sides

• Divide both sides by πH

• Multiply both sides by πH

Once R² is isolated, what operation is needed to solve for R?

• Square both sides

• Take the cube root of both sides

• Cube both sides

• Take the square root of both sides

What is the final expression for the radius (R) in terms of the volume (V), π, and height (H)?

• R = V / (π * H)

• R = √(V / (π * H))

• R = V * π * H

• R = √(V * π * H)