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the diameter of a billiard ball is approximately 6 cm. what is its volume? round your answer to the nearest whole number.

Respuesta :

Space

Answer:

The volume of the billard ball is 36π cm³, or approximately 113 cm³.

General Formulas and Concepts:
Geometry

Radius of a Circle Formula: [tex]\displaystyle r = \frac{d}{2}[/tex]

  • d is the diameter

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

  • r is the radius

Step-by-step explanation:

*Note:

A billard ball is in the shape of a sphere.

Step 1: Define

Identify given.

d = 6 cm

Step 2: Find Volume

  1. [Volume of a Sphere Formula] Substitute in r [Radis of a Circle Formula]:
    [tex]\displaystyle V = \frac{4}{3} \pi \bigg( \frac{d}{2} \bigg)^3[/tex]
  2. Substitute in diameter d [Given]:
    [tex]\displaystyle V = \frac{4}{3} \pi \bigg( \frac{6 \ \text{cm}}{2} \bigg)^3[/tex]
  3. Evaluate:
    [tex]\displaystyle V = 36 \pi \ \text{cm}^3[/tex]

∴ the exact volume of the billard ball is equal to 36π cm³ and the approximate volume of the billard ball is approixmately equal to 113 cm³.

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Learn more about geometry: https://brainly.com/question/15306477

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Topic: Algebra I/Geometry A