Question

2. find the value


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Answer 1

Answer:

$\displaystyle V = 2144.66 \ ft^3$

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: $\displaystyle V = \frac{4}{3} \pi r^3$

• r is radius

Step-by-step explanation:

Step 1: Define

Identify variables

r = 8 ft

Step 2: Find Volume

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