High School

The softball in the mitt is 3.9 inches in diameter. What is its volume?

A. 248.5 in³
B. 124.2 in³
C. 31.0 in³
D. 15.9 in³

Answer :

The volume of a softball with a 3.9-inch diameter is found using the formula for the volume of a sphere, yielding approximately 31.0 cubic inches. The correct answer is b. 124.2 in.

The question is asking to calculate the volume of a softball which has a diameter of 3.9 inches. To find the volume of a sphere, we use the formula \\[ V = \frac{4}{3} \pi r^3 \\], where V is the volume and r is the radius. Since the diameter is given as 3.9 inches, the radius is half of the diameter, which would be \\[ r = \frac{d}{2} = \frac{3.9\,\text{inches}}{2} = 1.95\,\text{inches} \\].

Plugging the value of the radius into the equation: \\[ V = \frac{4}{3} \pi (1.95)^3 \\]. Calculating this value, we find the volume to be approximately \\[ V \approx 31.0\,\text{in}^3 \\]. Thus, the correct option is (c) 31.0 in^3.