Respuesta :

Space

Answer:

[tex]\displaystyle V = 28 \pi \ ft^3[/tex]

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

Geometry

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

  • V is volume
  • r is radius
  • h is height

Step-by-step explanation:

Step 1: Define

Radius r = 2 ft

Height h = 7 ft

Step 2: Solve for V

  1. Substitute in variables [Volume of a Cylinder Formula]:                                [tex]\displaystyle V = \pi (2 \ ft)^2(7 \ ft)[/tex]
  2. [Volume] Evaluate exponents:                                                                         [tex]\displaystyle V = \pi (4 \ ft^2)(7 \ ft)[/tex]
  3. [Volume] Multiply:                                                                                             [tex]\displaystyle V = 28 \pi \ ft^3[/tex]

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