Question

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

Answer 1

B. 283.45 cubic inches.

Explanation:

We know that a volleyball has spherical form.

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

`V_(sphere)=(4)/(3) \pi r^(3)`

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

`r=(d)/(2) \\r=(8.15in)/(2)\\ r=4.075in`

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

`V_(sphere)=(4)/(3) (3.14) (4.075in)^(3)=283.45 in^(3)`

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