Answer :
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.
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.
