A container shaped like a sphere and s filled what the water . The container has a diameter of 14 centimeter . Which mesurement is closest to the volume of water in the container in cubic centimeter?

Respuesta :

Answer:

[tex]1,436\ cm^3[/tex]

Step-by-step explanation:

step 1

Find the volume of the container

The volume of the sphere is equal to

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

where

r is the radius of the sphere

we have

[tex]r=14/2=7\ cm[/tex] ----> the radius is half the diameter

assume

[tex]\pi =3.14[/tex]

substitute

[tex]V=\frac{4}{3}(3.14)(7)^{3}[/tex]

[tex]V=1,436\ cm^3[/tex]