Question

A sphere has a radius of 7.9 cm. Calculate the spheres volume. Use 3.14 and don't round.
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Answer 1

Answer:

$\displaystyle V = 2064.19 \ cm^3$

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 = 7.9 cm

Step 2: Find Volume

1. Substitute in variables [Volume of a Sphere Formula]:                                 $\displaystyle V = \frac{4}{3}(3.14)(7.9 \ cm)^3$
2. Evaluate exponents:                                                                                         $\displaystyle V = \frac{4}{3}(3.14)(493.039 \ cm^3)$
3. Multiply:                                                                                                             $\displaystyle V = 2064.19 \ cm^3$