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 \( r=\frac{D}{2}\). Given \( D = 13.6\) cm, so \( r=\frac{13.6}{2}=6.8\) 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 to the nearest tenth

Rounding \(1313.3717\cdots\) to the nearest tenth gives \(1313.4\).

Answer:

\(1313.4\)