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Answer:

h = 17.9909 in

General Formulas and Concepts:

Symbols

  • π (pi) ≈ 3.14

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

Geometry

Volume of a Cylinder Formula: V = πr²h

  • r is radius
  • h is height

Step-by-step explanation:

Step 1: Define

Identify variables

V = 1413 in³

r = 5 in

Step 2: Solve for h

  1. Substitute in variables [Volume of a Cylinder Formula]:                               1413 in³ = π(5 in)²h
  2. Evaluate exponents:                                                                                         1413 in³ = π(25 in²)h
  3. [Division Property of Equality] Divide π on both sides:                                  449.772 in³ = (25 in²)h
  4. [Division Property of Equality] Divide 25 on both sides:                               17.9909 in = h
  5. Rewrite:                                                                                                             h = 17.9909 in

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