Question

Solve the formula A=2πrh+2πr2 for h.

Answer 1

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

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)