Question

the diameter, d, of a sphere is 20.8 mm. 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 diameter \( D = 20.8 \) mm, so the radius \( r=\frac{D}{2}=\frac{20.8}{2} = 10.4 \) mm.

Step2: Use the sphere volume formula

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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Answer:

\( 4712.5 \)