Question

the diameter, d, of a sphere is 15.6mm. 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 \(D = 15.6\) mm, so \(r=\frac{D}{2}=\frac{15.6}{2}=7.8\) 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 \(r = 7.8\) into the formula:

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Step3: Round the result

Round \(1987.89024\) to the nearest tenth. The digit in the hundredth place is \(9\), so we round up the digit in the tenth place. So \(V\approx1987.9\) \(mm^{3}\).

Answer:

\(1987.9\)