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

The radius \( r=\frac{D}{2} \). Given \( D = 19.6\) cm, so \( r=\frac{19.6}{2}=9.8\) cm.

Step2: Use the volume formula for a sphere

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

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Step3: Round to the nearest tenth

Rounding \(3940.10773\cdots\) to the nearest tenth gives \(3940.1\).

Answer:

\(3940.1\)