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Problem Page A manufacturer makes decorative globes out of silver in the shape of a solid sphere. Suppose each sphere has a radius of 1.5 cm. If silver is priced at $6.00 per cm3 , how much will the silver cost to make one solid sphere? Use 3.14 for pi, and do not round your answer.

Respuesta :

calculista

Answer:

[tex]\$56.52[/tex]

Step-by-step explanation:

step 1

Find the volume of the sphere

The volume of the sphere is equal to

[tex]V=\frac{4}{3}\pi r^{3}[/tex]

we have

[tex]r=1.5\ cm[/tex]

substitute

[tex]V=\frac{4}{3}(3.14)(1.5)^{3}[/tex]

[tex]V=9.42\ cm^{3}[/tex]

step 2

Find the cost

Multiply the volume by $6.00 per cm^3

[tex]9.42*(6)=\$56.52[/tex]