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the diameter, d, of a sphere is 20.8 m. calculate the spheres volume, v…

Question

the diameter, d, of a sphere is 20.8 m. calculate the spheres volume, v. use the value 3.14 for π, and round your answer to the nearest tenth. (do not round any intermediate cor

Explanation:

Step1: Find the radius

The radius \(r\) of a sphere is half of the diameter. Given \(D = 20.8\) m, so \(r=\frac{D}{2}=\frac{20.8}{2}=10.4\) m.

Step2: Use the volume formula for a sphere

The volume formula for a sphere is \(V=\frac{4}{3}\pi r^{3}\). Substitute \(\pi = 3.14\) and \(r = 10.4\) into the formula:

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Step3: Round to the nearest tenth

Rounding \(4710.705067\) to the nearest tenth gives \(4710.7\).

Answer:

\(4710.7\)