A hollow crystal ball is made of glass that is 3 centimeters thick. The ball has a radius to the outside surface of 8 centimeters. What is the approximate volume of glass used to make the ball? Use 3.14 for pi.

Respuesta :

Answer:

The approximate volume of glass is equal to [tex]1,620.24\ cm^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the sphere ( crystal ball) is equal to

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

the approximate volume of glass is equal to

[tex]V=\frac{4}{3}\pi (rb^{3}-ra^{3})[/tex]

[tex]rb=8\ cm[/tex]

[tex]ra=(8-3)=5\ cm[/tex]

substitute

[tex]V=\frac{4}{3}(3.14)(8^{3}-5^{3})=1,620.24\ cm^{3}[/tex]