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 cm", how much will the silver cost to make one solid sphere?
Use 3.14 for , and do not round your answer.

Respuesta :

Answer: [tex]\$791.28[/tex]

Step-by-step explanation:

Given

The radius of the sphere is 3 cm

Silver cost [tex]\$7[/tex] per [tex]cm^3[/tex]

The volume of a sphere is  [tex]\frac{4\pi}{3}r^3[/tex]

Put the values

[tex]\Rightarrow \dfrac{4\pi}{3}\times 3^3\\\\\Rightarrow \dfrac{4\times 3.14}{3}\times 3\times 3^2\\\\\Rightarrow 113.04\ cm^3[/tex]

The price of this sphere is

[tex]\Rightarrow 113.04\times 7=\$791.28[/tex]