Final answer:
The volume of a sphere with a diameter of 4 inches is 33.51 cubic inches, calculated by using the formula V = (4/3)πr³ and substituting the radius (2 inches), using 3.14 for π.
Step-by-step explanation:
To find the volume of a sphere with a given diameter, you use the formula for volume which is V = (4/3)πr³. In this case, the diameter is 4 inches, which means the radius (r) is 2 inches. Substituting the radius into the formula, we get:
V = (4/3)π(2 inches)³
V = (4/3) × 3.14 × (2³)
V = (4/3) × 3.14 × 8
V = 33.51 cubic inches, when rounded to the nearest hundredth.
Therefore, the correct answer is A) 33.51 cubic inches.