The diameter of a volleyball is 8.15 inches. What is the volume of the ball,
rounded to the nearest hundredth?
O A. 208.67 in
O B. 283.45 in
O C. 695.57 in3
O D. 278.23 in 3

Respuesta :

Answer:

B.  283.45 cubic inches.

Step-by-step explanation:

We know that a volleyball has spherical form.

To find the volume of a sphere, we have the following formula

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

Now, we know that the radius is defined as half the diameter

[tex]r=\frac{d}{2} \\r=\frac{8.15in}{2}\\ r=4.075in[/tex]

Then, we replace the radius to find the volume of the ball

[tex]V_{sphere}=\frac{4}{3} (3.14) (4.075in)^{3}=283.45 in^{3}[/tex]

Therefore, the right answer is B.  283.45 cubic inches.