Question

the diameter, d, of a sphere is 18.4 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 radius \( r=\frac{D}{2} \). Given \( D = 18.4\) mm, so \( r=\frac{18.4}{2}=9.2\) mm.

Step2: Use the volume formula for a sphere

The volume formula of a sphere is \( V=\frac{4}{3}\pi r^{3}\). Substitute \( r = 9.2\) and \(\pi=3.14\) into the formula:

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Step3: Round the result

Round \(3260.616427\) to the nearest tenth. The digit in the hundredth place is \(1\), so \(V\approx3260.6\) \(mm^{3}\).

Answer:

\(3260.6\)