Question
Calculate the volume (to the nearest tenth of a cubic centimeter) of a golf ball whose diameter is 4.267cm
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Answer to a math question Calculate the volume (to the nearest tenth of a cubic centimeter) of a golf ball whose diameter is 4.267cm
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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 approximately40.7\,\text{cm}^3
2. The diameter of the golf ball is given as 4.267 cm, so the radius is half of that:
3. Substitute the radius into the volume formula:
4. Calculate the cube of the radius:
5. Substitute this back into the formula:
6. The volume of the golf ball is approximately
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