Calculate the volume (to the nearest tenth of a cubic centimeter) of a golf ball whose diameter is 4.267cm

1. The formula for the volume of a sphere is given by V = \frac{4}{3} \pi r^3 .

2. The diameter of the golf ball is given as 4.267 cm, so the radius is half of that: r = \frac{4.267}{2} = 2.1335 \, \text{cm} .

3. Substitute the radius into the volume formula: V = \frac{4}{3} \pi (2.1335)^3 .

4. Calculate the cube of the radius: (2.1335)^3 = 9.707432537375 .

5. Substitute this back into the formula: V=\frac{4}{3}\pi\times9.707432537375\approx40.7\,\text{cm}^3 .

6. The volume of the golf ball is approximately 40.7\,\text{cm}^3 .