Respuesta :

Answer:

653.45 cm^2

Step-by-step explanation:

The volume of a cylinder can be found using:

v=pi r^2 h

We know the radius is 4, and the height is 13, so we can substitute them in

v=pi (4^2)(13)

v=pi (16)(13)

v=pi 208

v=653.451272

Rounded to the nearest hundredth

v=653.45

So the volume is 653.45 cm^3

Answer: The volume of the cylinder is 653.45 cm^3

Step-by-step explanation:

-To figure out the volume of the cylinder, you need to the have the formula:

[tex]V=\pi r^{2} h[/tex]

-Set the radius and the height to the equation:

[tex]V=\pi[/tex] × [tex]4^2[/tex] × [tex]13[/tex]

-Solve:

[tex]V=\pi[/tex] × [tex]4^2[/tex] × [tex]13[/tex]

[tex]= \pi[/tex] × [tex]16[/tex] × [tex]13[/tex]

[tex]= \pi[/tex] × [tex]208[/tex]

[tex]=653.451[/tex]

-Round up to the nearest hundredth:

[tex]= 653.45[/tex]