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The diameter of a volleyball is 8.4 inches. What is the approximate volume of the volleyball?

A. 222 in³
B. 233 in³
C. 296 in³
D. 310 in³

Answer :

Final answer:

The approximate volume of the volleyball with a diameter of 8.4 inches, calculated using the formula for the volume of a sphere, is 310 inches³, which corresponds to answer choice d.

Explanation:

To find the volume of the volleyball, we can use the volume formula for a sphere, which is [tex]V = \(\frac{4}{3}\)\pi r^3[/tex], where V is volume and r is the radius of the sphere.

Since the diameter of the volleyball is given as 8.4 inches, the radius would be half of that, so r = 4.2 inches.

Plugging the values into the formula, we get:

[tex]V = \(\frac{4}{3}\)\pi (4.2 inches)^3[/tex]

Calculating the volume:

[tex]V = \(\frac{4}{3}\)\pi (74.088 inches^3)[/tex]

[tex]V \approx 310.35 inches^3[/tex]

Therefore, the approximate volume of the volleyball is 310 inches³, which corresponds to answer choice d.

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Rewritten by : Barada

Answer:

C.

Step-by-step explanation:

According to the volume equation of a sphere (V=4/3πr³)

8.4/2 equals a radius of 4.2, which when cubed equals 74.088 (base area). You then multiply your base area by the numerator of 4/3, giving you 296 when rounded or 296.352 when not rounded. Giving you the answer of C.