PLZZ HELP!! A spherical ball just fits inside a cylindrical can, 16 centimeters tall, with a diameter of 16 centimeters. Which expression gives the volume of the sphere in cubic centimeters?

PLZZ HELP A spherical ball just fits inside a cylindrical can 16 centimeters tall with a diameter of 16 centimeters Which expression gives the volume of the sph class=

Respuesta :

formula for volume of a sphere is V=4/3 x pi x R63

if diameter = 16 than radius = 16/2 = 8

 so the equation would be 4/3 x pi x 8^3

Answer:

Option [tex]V=\frac{4}{3}\pi (8^{3})\ cm^{3}[/tex]

Step-by-step explanation:

we know that

The volume of a sphere is equal to

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

In this problem we have

[tex]r=16/2=8\ cm[/tex] -----> the radius is half the diameter

substitute

[tex]V=\frac{4}{3}\pi (8^{3})\ cm^{3}[/tex]