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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Hester

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117 Answers

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

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

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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