Question

the diameter, d, of a sphere is 19.6 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 of the sphere

The radius \(r\) of a sphere is half of its diameter \(D\). Given \(D = 19.6\) cm, so \(r=\frac{D}{2}=\frac{19.6}{2}=9.8\) cm.

Step2: Use the formula for the volume of a sphere

The formula for the volume \(V\) of a sphere is \(V=\frac{4}{3}\pi r^{3}\). Substitute \(\pi = 3.14\) and \(r = 9.8\) into the formula:

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Step3: Round the result

Round \(3940.164267\) to the nearest tenth. The digit in the hundredth place is \(6\), so we round up the digit in the tenth place.

Answer:

\(3940.2\space cm^{3}\)