What is the volume of a sphere with a radius of 6in? Round to the nearest hundredth. Remember V = 4/3πr3 * 20 points 457.86 inches cubed 394.56 inches cubed 904.78 inches cubed 807.78 inches cubed

Respuesta :

Given:

The radius of the sphere is 6 in.

To find:

The volume of the sphere.

Solution:

We know that, the volume of a sphere is

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

Where, r is the radius of the sphere.

Putting r=6, we get

[tex]V=\dfrac{4}{3}\pi (6)^3[/tex]

[tex]V=\dfrac{4}{3}\pi (216)[/tex]

[tex]V=288\pi[/tex]

[tex]V\approx 904.78[/tex]

The volume of the sphere is 904.78 inches cubed.

Therefore, the correct option is C.