Answer:
D. 2 inches.
Explanation:
Given the following data;
Volume of golf (sphere) = 4 in³
A golf ball is spherical in shape. Thus, to find its volume we would use the formula for the volume of a sphere.
![Volume \; of \; a \; sphere = \frac {4}{3} \pi r^(3)](https://img.qammunity.org/2022/formulas/mathematics/high-school/smvle4zk7xork6wq9j0wcl4furvpxoqrfm.png)
Substituting into the equation, we have;
![4 = \frac {4}{3} * 3.142* r^(3)](https://img.qammunity.org/2022/formulas/mathematics/high-school/te9eml5zwxg7ou5w7volyizdr3bi6m1dt0.png)
Cross-multiplying, we have;
![r^(3) = \frac {12.568}{12}](https://img.qammunity.org/2022/formulas/mathematics/high-school/zp8fnxfzl3csz8vri1d512uasc083ice1i.png)
![r^(3) = 1.0473](https://img.qammunity.org/2022/formulas/mathematics/high-school/ok9e7gxywdw21lh1cbcauigprzg6c7u9t0.png)
Taking the cube root of both sides, we have;
Radius, r = 1.016 inches.
To find the diameter;
Diameter = radius * 2
Diameter = 1.016 * 2
Diameter = 2.03 ≈ 2 inches.