Question

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a manufacturer makes decorative globes out of silver in the shape of a solid sphere. suppose each sphere has a radius of 3 cm. if silver is priced at $7.00 per cm³, how much will the silver cost to make one solid sphere? use 3.14 for π, and do not round your answer.

Explanation:

Step1: Calculate the volume of the sphere

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

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Step2: Calculate the cost of the silver

If silver is priced at \(\$7.00\) per \(cm^{3}\), then the cost \(C\) is the product of the volume \(V\) and the price per \(cm^{3}\). So \(C=7\times V\). Substituting \(V = 113.04\) into the formula:

$$C=7\times113.04 = 791.28$$

Answer:

\(791.28\)