Question

the diameter, d, of a sphere is 20.8 cm. 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 computations.)

Explanation:

Step1: Find the radius

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

Step2: Use the volume formula for a sphere

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

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Answer:

\(4709.7\)