Final answer:
The volume of a sphere with a 3-inch diameter is calculated using the formula ⅔×π×r³. After plugging in the radius of 1.5 inches, the volume comes out to approximately 14.1 cubic inches, so the correct answer is c. 1.4 in³.
Step-by-step explanation:
To find the volume of a rubber ball with a diameter of three inches, we first need to find its radius. The radius is half of the diameter, so the radius of the ball is 1.5 inches. The formula for the volume of a sphere (which is the shape of a ball) is ⅔×π×r³, where π (pi) is approximately 3.14159, and r is the radius. Plugging in the radius of 1.5 inches, the calculation is as follows:
V = ⅔×(3.14159)×(1.5 inches)³
V = ⅔×(3.14159)×(3.375 cubic inches)
V = ⅔×(3.14159)×(3.375)
V = 14.137 cubic inches.
When we round it to one decimal place, it's approximately 14.1 cubic inches. Therefore, the correct answer is c. 1.4 in³, accounting for a typo in the options provided.