Mathematics: 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

I am pretty sure that it is a...

The diameter of a volleyball is 8.15 inches. what

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30.12.2021

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

$V_{sphere}=\frac{4}{3} \pi r^{3}$

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

$r=\frac{d}{2} \\r=\frac{8.15in}{2}\\ r=4.075in$

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

$V_{sphere}=\frac{4}{3} (3.14) (4.075in)^{3}=283.45 in^{3}$

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

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