Question

the diameter, d, of a sphere is 13.6 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 \(r\) of a sphere is half of the diameter. Given \(D = 13.6\) cm, so \(r=\frac{D}{2}=\frac{13.6}{2}=6.8\) cm.

Step2: Use the volume formula for a sphere

The volume formula of a sphere is \(V=\frac{4}{3}\pi r^{3}\). Substitute \(r = 6.8\) cm and \(\pi=3.14\) into the formula:

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Step3: Round the result

Round \(1313.3717\cdots\) to the nearest tenth. The digit in the hundredth place is \(7\), so we round up the digit in the tenth place.

Answer:

\(1313.4\)