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 4.5 cm. if silver is priced at $4.00 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 \(r = 4.5\) cm and \(\pi=3.14\), we substitute these values into the formula:

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Step2: Calculate the cost of the silver

Since silver is priced at \(\$4.00\) per \(cm^{3}\), we multiply the volume \(V = 381.51\) \(cm^{3}\) by the price per \(cm^{3}\).

$$C=381.51\times4=\$1526.04$$

Answer:

\(\$1526.04\)