Beach ball with diameter of 24 inches what is the volume of air in the beach ball to the nearest of a cubic foot?

Respuesta :

Answer:

4 ft³

Step-by-step explanation:

From the question;

  • Diameter of the beach ball is 24 Inches

We are required to determine the volume of the air in the beach ball;

  • We need to know that the volume of the air is the same as the volume of the beach ball.
  • The ball is in the shape of a sphere

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

Radius = 12 inches

But, 1 ft = 12 inches

Thus, radius = 1 ft

Therefore;

Taking pi as 3.142

Volume = 4/3 × 3.142 × 1³

            = 4.189 ft³

            = 4 ft³ (nearest cubic foot)

Therefore, the volume of the air in the beach ball is 4 ft³