Respuesta :
Answer:
6.3 have a good day
Step-by-step explanation:
The approximate difference in the softballs volumes is 6.3 cubic inches. The correct option is the first option- 6.3 cubic inches
Calculating volume of a sphere
From the question, we are to determine the difference in the volumes of the softballs
Let r represent the radius of the youth softball
and R represent the radius of the adult softball
The difference in volume will be
[tex]V = \frac{4}{3}\pi (R^{3}-r^{3})[/tex]
From the given information,
Diameter of the youth softball is 3.5 inches
∴ r = 3.5 / 2 = 1.75 inches
Diameter of the adult softball is 3.8 inches
∴ R = 3.8 / 2 = 1.9 inches
Now, put the parameters into the equation
[tex]V = \frac{4}{3}\pi(1.9^{3}-1.75^{3})[/tex]
[tex]V = \frac{4}{3}\times 3.14 \times 1.4996[/tex]
V = 6.278325
V ≅ 6.3 cubic inches
Hence, the approximate difference in the softballs volumes is 6.3 cubic inches. The correct option is the first option- 6.3 cubic inches
Learn more on Calculating the volume of a sphere here: https://brainly.com/question/1832322
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