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Solve the formula A=2πrh+2πr2 for h.

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Answer:

h = (A - 2πr²)/(2πr)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

Algebra I

  • Terms/Coefficients

Step-by-step explanation:

Step 1: Define

A = 2πrh + 2πr²

Step 2: Solve for h

  1. [Subtraction Property of Equality] Subtract 2πr² on both sides:                 A - 2πr² = 2πrh
  2. [Division Property of Equality] Divide 2πr on both sides:                            (A - 2πr²)/(2πr) = h
  3. Rewrite/Rearrange:                                                                                        h = (A - 2πr²)/(2πr)
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