Respuesta :

Space

Answer:

[tex]\displaystyle V = 972 \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 Sphere Formula: [tex]\displaystyle V = \frac{4}{3} \pi r^3[/tex]

  • V is volume
  • r is radius

Step-by-step explanation:

Step 1: Define

Radius r = 9 ft

Step 2: Solve for V

  1. Substitute in r [Volume of a Sphere Formula]:                                               [tex]\displaystyle V = \frac{4}{3} \pi (9 \ ft)^3[/tex]
  2. [Volume] Evaluate exponents:                                                                         [tex]\displaystyle V = \frac{4}{3} \pi (729 \ ft^3)[/tex]
  3. [Volume] Multiply:                                                                                             [tex]\displaystyle V = 972 \pi \ ft^3[/tex]

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