Respuesta :

Space

Answer:

h = 2.86479 cm

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

V = 81 cm³

r = 3 cm

Step 2: Solve for h

  1. Substitute in variables [Volume of a Cylinder Formula]:                                81 cm³ = (3.14)(3 cm)²h
  2. Evaluate exponents:                                                                                         81 cm³ = (3.14)(9 cm²)h
  3. Multiply:                                                                                                             81 cm³ = (28.2743 cm²)h
  4. [Division Property of Equality] Divide 28.2743 cm² on both sides:              2.86479 cm = h
  5. Rewrite:                                                                                                             h = 2.86479 cm

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