Respuesta :

Answer:

157.08

Step-by-step explanation:

Hello There!

The first step in solving this problem is to find the formula for volume of a cylinder

To find the volume of a cylinder we use this formula

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

Where r = radius and h = hypotenuse

we are given the height and the diameter

To convert the diameter to radius we divide the diameter by 2

5/2=2.5

so the radius is 2.5

now we plug in the values

[tex]V=\pi 2.5^28\\2.5^2=6.25\\6.25\pi =19.63495408\\19.63495408*8=157.0796327[/tex]

So the volume of the cylinder is 157.0796327

now we just round to the nearest hundredth and get that the volume of the cylinder is 157.08

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