Question

2. find the value


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Answer 1

`\displaystyle V = 2144.66 \ ft^3`

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:
`\displaystyle V = (4)/(3) \pi r^3`

• r is radius

Explanation:

Step 1: Define

Identify variables

r = 8 ft

Step 2: Find Volume

1. Substitute in variables [Volume of a Sphere Formula]:
   `\displaystyle V = (4)/(3) \pi (8 \ ft)^3`
2. Evaluate exponents:
   `\displaystyle V = (4)/(3) \pi (512\ ft^3)`
3. Multiply:
   `\displaystyle V = (2048)/(3) \pi \ ft^3`
4. Estimate:
   `\displaystyle V = 2144.66 \ ft^3`