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Width of 12 in. Calculate the volume of the sphere. Round to the nearest tenth if necessary

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Answer to a math question Width of 12 in. Calculate the volume of the sphere. Round to the nearest tenth if necessary

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Clarabelle
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94 Answers
1. Identify the radius of the sphere. Given the width is 12 inches, the diameter is 12 inches. Therefore, the radius is half of the diameter:
r = \frac{12}{2} = 6 \, \text{in}

2. Use the formula for the volume of a sphere:
V = \frac{4}{3} \pi r^3

3. Substitute the radius into the formula:
V = \frac{4}{3} \pi (6)^3

4. Calculate:
V = \frac{4}{3} \pi \times 216 = \frac{864}{3} \pi = 288 \pi

5. Approximate using \pi \approx 3.1416 :
V \approx 288 \times 3.1416 = 904.8 \, \text{in}^3

6. The volume of the sphere, rounded to the nearest tenth, is approximately:
904.8 \, \text{in}^3

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