Respuesta :

Space

Answer:

V = 12π in³

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

Geometry

Volume of a Cylinder Formula: [tex]\displaystyle V = \pi r^2h[/tex]

  • r is radius
  • h is height

Step-by-step explanation:

Step 1: Define

Radius r = 2 in

Height h = 3 in

Step 2: Find Volume

  1. Substitute in variables [Volume of a Cylinder Formula]:                                V = π(2 in)²(3 in)
  2. [Volume] Evaluate exponents:                                                                         V = π(4 in²)(3 in)
  3. [Volume] Multiply:                                                                                             V = π(12 in³)
  4. [Volume] Multiply:                                                                                             V = 12π in³
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