Final answer:
The volume of the softball in the mitt can be calculated using the formula V = (4/3)πr³. Using the given diameter, we find the radius and then substitute it into the formula to find the volume. The correct volume is approximately 50.5 cubic inches.
Step-by-step explanation:
The volume of a sphere can be calculated using the formula V = (4/3)πr³, where V is the volume and r is the radius of the sphere.
In this case, the diameter of the softball is given as 4.9 inches.
To find the radius, we divide the diameter by 2: r = 4.9/2 = 2.45 inches.
Substituting this value into the formula, we get V = (4/3)(3.14)(2.45)³ = 4.9*3.14*(2.45)²
= 50.5331 cubic inches.
Rounding to one decimal place, the volume of the softball in the mitt is approximately 50.5 cubic inches, so the correct answer is b. 50.5 in³.