Question

keith’s company makes solid balls out of scrap metal for various industrial uses. for one project, he must make copper balls that have a radius of 6 in. if copper costs $0.75 per in³, how much will the copper cost to make one ball? use 3.14 for π, and do not round your answer.

Explanation:

Step1: Calculate the volume of the copper ball

The volume formula for a sphere is \(V = \frac{4}{3}\pi r^{3}\). Given \(r = 6\) in and \(\pi=3.14\), we substitute the values:

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Step2: Calculate the cost of the copper ball

Since copper costs \( \$0.75\) per \(in^{3}\), we multiply the volume by the cost per unit volume. Let \(C\) be the cost. Then \(C=V\times0.75\). Substituting \(V = 904.32\) into the formula:

$$C=904.32\times0.75 = 678.24$$

Answer:

\(678.24\)