A beach ball is a sphere with a diameter of 24 inches. Which value is closest to the volume, in cubic inches, of the beach ball? A. 50, b. 101, c. 733, d. 57,906

Respuesta :

Answer:

7234.56.

Step-by-step explanation:

Given:

Diameter = 24 inches

To find:

Volume of beach ball = ?

Solution:

First of all find radius, r = half of diameter

                                    r = [tex]\frac{24}{2} = 12 \ inches[/tex]

By using formula, [tex]Volume \ of \ sphere = \frac{4}{3} \pi r^{3}[/tex]

[tex]Volume\ of \ sphere = \frac{4}{3} \pi r^{3}[/tex]

                           = [tex]\frac{4}{3} \times3.14\times12\times12\times12\\\frac{21703.68}{3} = 7234.56[/tex]

Therefore, the correct value of the volume, in cubic inches, of the beach ball is 7234.56.