Question

the diameter, d, of a sphere is 15.2 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 \( D = 15.2\) mm, so \( r=\frac{15.2}{2}=7.6\) mm.

Step2: Use the volume formula for a sphere

The volume formula of a sphere is \( V=\frac{4}{3}\pi r^{3}\). Substitute \( \pi = 3.14\) and \( r = 7.6\) into the formula:

$$
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$$

Step3: Round to the nearest tenth

Rounding \(1837.000427\) to the nearest tenth gives \(V\approx1837.0\) \(mm^{3}\)

Answer:

\(V = 1837.0\) \(mm^{3}\)